<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:OCW+6.042J+2T2019+type@vertical+block@34abeaf3f6cc455a892de6e5d0c8ce7c" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="vertical" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="VerticalStudentView">
<h2 class="hd hd-2 unit-title">Introduction</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+6.042J+2T2019+type@html+block@25003054de224cc19c2d4fdd6ca5b3d5">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-usage-id="block-v1:OCW+6.042J+2T2019+type@html+block@25003054de224cc19c2d4fdd6ca5b3d5" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="html" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="XBlockToXModuleShim">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>Read <a href="/assets/courseware/v1/794ccc602cd7a73621f3becc5495e097/asset-v1:OCW+6.042J+2T2019+type@asset+block/MIT6_042JS15_Session6.pdf" target="[object Object]">Chapter 4.1–4.2 (PDF)</a> of <em>Mathematics for Computer Science</em> for 1.6 Sets.</p>
<p>View the <a href="/assets/courseware/v1/f79ec0319cdfa4393b9b6ead98cf6827/asset-v1:OCW+6.042J+2T2019+type@asset+block/MIT6_042JS15_cp6.pdf" target="[object Object]">Section 1.6 In-Class Questions (PDF)</a></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:OCW+6.042J+2T2019+type@vertical+block@b10b730faf704839a55290ed0b60ab66" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="vertical" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="VerticalStudentView">
<h2 class="hd hd-2 unit-title">Lecture Video | Sets Definitions</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="video" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="XBlockToXModuleShim">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Sets Definitions</h3>
<div
id="video_7bb297a449c941289ef30734724dc1af"
class="video closed"
data-metadata='{"savedVideoPosition": 0.0, "recordedYoutubeIsAvailable": true, "lmsRootURL": "https://openlearninglibrary.mit.edu", "saveStateEnabled": false, "speed": null, "start": 0.0, "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af/handler/transcript/available_translations", "autohideHtml5": false, "publishCompletionUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af/handler/publish_completion", "completionPercentage": 0.95, "generalSpeed": 1.0, "completionEnabled": false, "prioritizeHls": false, "transcriptTranslationUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af/handler/transcript/translation/__lang__", "captionDataDir": null, "sources": ["https://ia800207.us.archive.org/32/items/MIT6.042JS15/MIT6_042JS15_sets_def_ipod.mp4"], "poster": null, "ytMetadataEndpoint": "", "showCaptions": "true", "end": 0.0, "saveStateUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af/handler/xmodule_handler/save_user_state", "autoplay": false, "transcriptLanguage": "en", "duration": 0.0, "transcriptLanguages": {"en": "English"}, "autoAdvance": false, "ytApiUrl": "https://www.youtube.com/iframe_api", "ytTestTimeout": 1500, "streams": "1.00:KZ7jjLTQ9r4"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="7bb297a449c941289ef30734724dc1af"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_7bb297a449c941289ef30734724dc1af">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_7bb297a449c941289ef30734724dc1af">
<div class="wrapper-download-video">
<h4 class="hd hd-5">Video</h4>
<a class="btn-link video-sources video-download-button" href="https://ia800207.us.archive.org/32/items/MIT6.042JS15/MIT6_042JS15_sets_def_ipod.mp4">
Download video file
</a>
</div>
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@7bb297a449c941289ef30734724dc1af/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:OCW+6.042J+2T2019+type@html+block@c866c048d3004810bb71a82c9804d11c">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-usage-id="block-v1:OCW+6.042J+2T2019+type@html+block@c866c048d3004810bb71a82c9804d11c" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="html" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="XBlockToXModuleShim">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>Download a copy of the slides for <a href="/assets/courseware/v1/9440e175155dc537d7d5c352a530af10/asset-v1:OCW+6.042J+2T2019+type@asset+block/MIT6_042JS16_Sets_Definitions_Slides.pdf" target="[object Object]">Sets Definitions (PDF)</a></p>
<p><a href="/assets/courseware/v1/ec677fc932bc5d12bece97c732bbb528/asset-v1:OCW+6.042J+2T2019+type@asset+block/Set_Defs_1.6_Lectrans.pdf" target="[object Object]">Lecture video transcript (PDF)</a></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:OCW+6.042J+2T2019+type@vertical+block@851fdd80cb4b466caed24b7eadbc33ea" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="vertical" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="VerticalStudentView">
<h2 class="hd hd-2 unit-title">Lecture Video | Sets Operations</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="video" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="XBlockToXModuleShim">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Sets Operations</h3>
<div
id="video_5fb46f923bfc42438227ee879d97a35f"
class="video closed"
data-metadata='{"savedVideoPosition": 0.0, "recordedYoutubeIsAvailable": true, "lmsRootURL": "https://openlearninglibrary.mit.edu", "saveStateEnabled": false, "speed": null, "start": 0.0, "transcriptAvailableTranslationsUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f/handler/transcript/available_translations", "autohideHtml5": false, "publishCompletionUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f/handler/publish_completion", "completionPercentage": 0.95, "generalSpeed": 1.0, "completionEnabled": false, "prioritizeHls": false, "transcriptTranslationUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f/handler/transcript/translation/__lang__", "captionDataDir": null, "sources": ["https://ia800207.us.archive.org/32/items/MIT6.042JS15/MIT6_042JS15_set_ops_ipod.mp4"], "poster": null, "ytMetadataEndpoint": "", "showCaptions": "true", "end": 0.0, "saveStateUrl": "/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f/handler/xmodule_handler/save_user_state", "autoplay": false, "transcriptLanguage": "en", "duration": 0.0, "transcriptLanguages": {"en": "English"}, "autoAdvance": false, "ytApiUrl": "https://www.youtube.com/iframe_api", "ytTestTimeout": 1500, "streams": "1.00:Mhip1rljvRo"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="5fb46f923bfc42438227ee879d97a35f"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_5fb46f923bfc42438227ee879d97a35f">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_5fb46f923bfc42438227ee879d97a35f">
<div class="wrapper-download-video">
<h4 class="hd hd-5">Video</h4>
<a class="btn-link video-sources video-download-button" href="https://ia800207.us.archive.org/32/items/MIT6.042JS15/MIT6_042JS15_set_ops_ipod.mp4">
Download video file
</a>
</div>
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@video+block@5fb46f923bfc42438227ee879d97a35f/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:OCW+6.042J+2T2019+type@html+block@9fc842a42b0944ae80238c3c82429a56">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-usage-id="block-v1:OCW+6.042J+2T2019+type@html+block@9fc842a42b0944ae80238c3c82429a56" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="html" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="XBlockToXModuleShim">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>Download a copy of the slides for <a href="/assets/courseware/v1/aa692691f915ba7d5a79746673cb1b97/asset-v1:OCW+6.042J+2T2019+type@asset+block/MIT6_042JS16_SetsOperation_Slides.pdf" target="[object Object]">Sets Operations (PDF)</a></p>
<p><a href="/assets/courseware/v1/a083795ac57773a84b24cbfc25979950/asset-v1:OCW+6.042J+2T2019+type@asset+block/Set_Ops_1.6_Lectrans.pdf" target="[object Object]">Lecture video transcript (PDF)</a></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:OCW+6.042J+2T2019+type@vertical+block@aef14c7bb6eb497492bf89774a66deed" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="False" data-block-type="vertical" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="VerticalStudentView">
<h2 class="hd hd-2 unit-title">Exercise | Difference</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:OCW+6.042J+2T2019+type@problem+block@b6ec763533344c34b8e3003a9214437f">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:OCW+6.042J+2T2019+type@problem+block@b6ec763533344c34b8e3003a9214437f" data-course-id="course-v1:OCW+6.042J+2T2019" data-runtime-class="LmsRuntime" data-has-score="True" data-block-type="problem" data-runtime-version="1" data-request-token="d2b1353adbd511ef904e12ab06d4b43d" data-graded="False" data-init="XBlockToXModuleShim">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_b6ec763533344c34b8e3003a9214437f" class="problems-wrapper" role="group"
aria-labelledby="b6ec763533344c34b8e3003a9214437f-problem-title"
data-problem-id="block-v1:OCW+6.042J+2T2019+type@problem+block@b6ec763533344c34b8e3003a9214437f" data-url="/courses/course-v1:OCW+6.042J+2T2019/xblock/block-v1:OCW+6.042J+2T2019+type@problem+block@b6ec763533344c34b8e3003a9214437f/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="1"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="b6ec763533344c34b8e3003a9214437f-problem-title" aria-describedby="block-v1:OCW+6.042J+2T2019+type@problem+block@b6ec763533344c34b8e3003a9214437f-problem-progress" tabindex="-1">
Difference
</h3>
<div class="problem-progress" id="block-v1:OCW+6.042J+2T2019+type@problem+block@b6ec763533344c34b8e3003a9214437f-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_b6ec763533344c34b8e3003a9214437f_2_1">
<fieldset aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1">
<legend id="b6ec763533344c34b8e3003a9214437f_2_1-legend" class="response-fieldset-legend field-group-hd">For sets <math xmlns="http://www.w3.org/1998/Math/MathML">
<mi>A</mi>
</math> and <math xmlns="http://www.w3.org/1998/Math/MathML">
<mi>B</mi>
</math>, which of the following are equivalent to <math xmlns="http://www.w3.org/1998/Math/MathML">
<mi>A</mi>
<mo>&#8211;</mo>
<mi>B</mi>
</math> ?</legend>
<div class="field">
<input type="radio" name="input_b6ec763533344c34b8e3003a9214437f_2_1" id="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="b6ec763533344c34b8e3003a9214437f_2_1-choice_0-label" for="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1"> <math xmlns="http://www.w3.org/1998/Math/MathML">
<mo fence="false" stretchy="false">{</mo>
<mi>x</mi>
<mo>&#8739;<!-- &#8739; --></mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>A</mi>
<mo stretchy="false">)</mo>
<mtext>&#160;AND&#160;</mtext>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo fence="false" stretchy="false">}</mo>
</math>
</label>
</div>
<div class="field">
<input type="radio" name="input_b6ec763533344c34b8e3003a9214437f_2_1" id="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="b6ec763533344c34b8e3003a9214437f_2_1-choice_1-label" for="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1"> <math xmlns="http://www.w3.org/1998/Math/MathML">
<mo fence="false" stretchy="false">{</mo>
<mi>x</mi>
<mo>&#8739;<!-- &#8739; --></mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>A</mi>
<mo stretchy="false">)</mo>
<mtext>&#160;OR&#160;</mtext>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo fence="false" stretchy="false">}</mo>
</math>
</label>
</div>
<div class="field">
<input type="radio" name="input_b6ec763533344c34b8e3003a9214437f_2_1" id="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="b6ec763533344c34b8e3003a9214437f_2_1-choice_2-label" for="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1"> <math xmlns="http://www.w3.org/1998/Math/MathML">
<mo fence="false" stretchy="false">{</mo>
<mi>x</mi>
<mo>&#8739;<!-- &#8739; --></mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>A</mi>
<mo stretchy="false">)</mo>
<mtext>&#160;AND&#160;</mtext>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8713;<!-- &#8713; --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo fence="false" stretchy="false">}</mo>
</math>
</label>
</div>
<div class="field">
<input type="radio" name="input_b6ec763533344c34b8e3003a9214437f_2_1" id="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_3" class="field-input input-radio" value="choice_3"/><label id="b6ec763533344c34b8e3003a9214437f_2_1-choice_3-label" for="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1"> <math xmlns="http://www.w3.org/1998/Math/MathML">
<mo fence="false" stretchy="false">{</mo>
<mi>x</mi>
<mo>&#8739;<!-- &#8739; --></mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>A</mi>
<mo stretchy="false">)</mo>
<mtext>&#160;AND&#160;</mtext>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo fence="false" stretchy="false">}</mo>
</math>
</label>
</div>
<div class="field">
<input type="radio" name="input_b6ec763533344c34b8e3003a9214437f_2_1" id="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_4" class="field-input input-radio" value="choice_4"/><label id="b6ec763533344c34b8e3003a9214437f_2_1-choice_4-label" for="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_4" class="response-label field-label label-inline" aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1"> <math xmlns="http://www.w3.org/1998/Math/MathML">
<mo fence="false" stretchy="false">{</mo>
<mi>x</mi>
<mo>&#8739;<!-- &#8739; --></mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>A</mi>
<mo stretchy="false">)</mo>
<mtext>&#160;OR&#160;</mtext>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8713;<!-- &#8713; --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo fence="false" stretchy="false">}</mo>
</math>
</label>
</div>
<div class="field">
<input type="radio" name="input_b6ec763533344c34b8e3003a9214437f_2_1" id="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_5" class="field-input input-radio" value="choice_5"/><label id="b6ec763533344c34b8e3003a9214437f_2_1-choice_5-label" for="input_b6ec763533344c34b8e3003a9214437f_2_1_choice_5" class="response-label field-label label-inline" aria-describedby="status_b6ec763533344c34b8e3003a9214437f_2_1"> <math xmlns="http://www.w3.org/1998/Math/MathML">
<mo fence="false" stretchy="false">{</mo>
<mi>x</mi>
<mo>&#8739;<!-- &#8739; --></mo>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8713;<!-- &#8713; --></mo>
<mi>A</mi>
<mo stretchy="false">)</mo>
<mtext>&#160;OR&#160;</mtext>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>&#8712;<!-- &#8712; --></mo>
<mi>B</mi>
<mo stretchy="false">)</mo>
<mo fence="false" stretchy="false">}</mo>
</math>
</label>
</div>
<span id="answer_b6ec763533344c34b8e3003a9214437f_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_b6ec763533344c34b8e3003a9214437f_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div></div>
<div class="solution-span">
<span id="solution_b6ec763533344c34b8e3003a9214437f_solution_1"/>
</div></div>
<div class="action">
<input type="hidden" name="problem_id" value="Difference" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_b6ec763533344c34b8e3003a9214437f" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_b6ec763533344c34b8e3003a9214437f">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="reset problem-action-btn btn-default btn-small" data-value="Reset"><span class="icon fa fa-refresh" aria-hidden="true"></span><span aria-hidden="true">Reset</span><span class="sr">Reset your answer</span></button>
</span>
<span class="problem-action-button-wrapper">
<button type="button" class="show problem-action-btn btn-default btn-small" aria-describedby="b6ec763533344c34b8e3003a9214437f-problem-title"><span class="icon fa fa-info-circle" aria-hidden="true"></span><span class="show-label">Show Answer</span></button>
</span>
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="b6ec763533344c34b8e3003a9214437f-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="b6ec763533344c34b8e3003a9214437f-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="b6ec763533344c34b8e3003a9214437f-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
</div>
</div>