不平等的局限性

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Look at the graph for @$\begin{align*}x\lt 20.\end{align*}@$ What does this mean within the context of how many people can attend a performance?
::查看 $\ begin{ align\\ x\ lt 20.\ end{ align\ $$ 的图表,这在有多少人可以参加演出方面意味着什么? </span> </p> </div> </div> </div> <div aria-label="multiple-choice" role="listbox" style="margin: 15px auto auto;"> <div class="Option__Wrapper-k9e6kv-0 heVejJ Button__ButtonBaseWithStyle-sc-84j1rn-0 gCFeAz" data-dx-elementinfo="summative_test_answer_option-1" role="option" tabindex="0" type="default"> <div class="Option__Content-k9e6kv-1 ieQggj" type="default"> <span class="Option__OrderText-k9e6kv-3 bxozzD" type="default"> a </span> <span class="x-ck12-option_text Option__OptionText-k9e6kv-5 eWjVbR"> <button class="play-button btn btn-success" style="float: right;" value="@s"> 播放段落 </button> <p> Only less than 20 people can go to the performance. <br/> <span style="color: green; "> ::只有不到20人可以参加演出。 </span> </p> </span> </div> </div> <div class="Option__Wrapper-k9e6kv-0 heVejJ Button__ButtonBaseWithStyle-sc-84j1rn-0 gCFeAz" data-dx-elementinfo="summative_test_answer_option-2" role="option" tabindex="0" type="default"> <div class="Option__Content-k9e6kv-1 ieQggj" type="default"> <span class="Option__OrderText-k9e6kv-3 bxozzD" type="default"> b </span> <span class="x-ck12-option_text Option__OptionText-k9e6kv-5 eWjVbR"> <button class="play-button btn btn-success" style="float: right;" value="@s"> 播放段落 </button> <p> Only more than 20 people can go to the performance. <br/> <span style="color: green; "> ::只有20多人可以参加演出。 </span> </p> </span> </div> </div> <div class="Option__Wrapper-k9e6kv-0 heVejJ Button__ButtonBaseWithStyle-sc-84j1rn-0 gCFeAz" data-dx-elementinfo="summative_test_answer_option-3" role="option" tabindex="0" type="default"> <div class="Option__Content-k9e6kv-1 ieQggj" type="default"> <span class="Option__OrderText-k9e6kv-3 bxozzD" type="default"> c </span> <span class="x-ck12-option_text Option__OptionText-k9e6kv-5 eWjVbR"> <button class="play-button btn btn-success" style="float: right;" value="@s"> 播放段落 </button> <p> Only exactly 20 people can go to the performance. <br/> <span style="color: green; "> ::只有20个人可以参加演出 </span> </p> </span> </div> </div> <div class="Option__Wrapper-k9e6kv-0 heVejJ Button__ButtonBaseWithStyle-sc-84j1rn-0 gCFeAz" data-dx-elementinfo="summative_test_answer_option-4" role="option" tabindex="0" type="default"> <div class="Option__Content-k9e6kv-1 ieQggj" type="default"> <span class="Option__OrderText-k9e6kv-3 bxozzD" type="default"> d </span> <span class="x-ck12-option_text Option__OptionText-k9e6kv-5 eWjVbR"> <button class="play-button btn btn-success" style="float: right;" value="@s"> 播放段落 </button> <p> Only 20 people or less can go to the performance. <br/> <span style="color: green; "> ::只有20人或不到20人可以参加演出。 </span> </p> </span> </div> </div> </div> </div> <div class="ActionWrapper__Wrapper-i4wcoi-3 jQbOYI"> </div> </div> </div> </div> </div> </div> </div> </div> </quiz-lite> </div> </div> <p id="x-ck12-ZDQxZDhjZDk4ZjAwYjIwNGU5ODAwOTk4ZWNmODQyN2U.-vlm">   </p> <p id="x-ck12-ZDQxZDhjZDk4ZjAwYjIwNGU5ODAwOTk4ZWNmODQyN2U.-4ym">   </p> <hr/> <button class="play-button btn btn-success" style="float: right;" value="@s"> 播放段落 </button> <h3 id="x-ck12-ZDQxZDhjZDk4ZjAwYjIwNGU5ODAwOTk4ZWNmODQyN2U.-ewv"> <span style="color: #008080;"> Limitations of Inequalities </span> <br/> <span style="color: green; "> ::不平等的局限性 </span> </h3> <button class="play-button btn btn-success" style="float: right;" value="@s"> 播放段落 </button> <p id="x-ck12-NDBkYjIyN2ZiZTdjOWQ5NmU3YzNjMTAxM2QyNmMwMDQ.-6j7"> In the opening activity,  <span> you </span> used the inequality  <span class="x-ck12-mathEditor" data-contenteditable="false" data-edithtml="" data-math-class="x-ck12-math" data-mathmethod="inline" data-tex="x%20%E2%89%A4%20350"> <span class="MathJax_Preview" style="color: inherit; display: none;"> </span> <span class="MathJax_SVG" data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mtr><mtd><mi>x</mi><mo>&#x2264;</mo><mn>350</mn></mtd></mtr></mtable></math>' id="MathJax-Element-3-Frame" role="presentation" style="font-size: 100%; display: inline-block; position: relative;" tabindex="-1"> <svg aria-hidden="true" focusable="false" height="2.768ex" role="img" style="vertical-align: -0.809ex;" viewbox="0 -843.3 3726.9 1191.7" width="8.656ex" xmlns:xlink="http://www.w3.org/1999/xlink"> <g fill="currentColor" role="group" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"> <g role="group" transform="translate(167,0)"> <g role="group" transform="translate(-16,0)"> <g role="group" transform="translate(0,-50)"> <use x="0" xlink:href="#MJMATHI-78" y="0"> </use> <use x="850" xlink:href="#MJMAIN-2264" y="0"> </use> <g role="group" transform="translate(1906,0)"> <use xlink:href="#MJMAIN-33"> </use> <use x="500" xlink:href="#MJMAIN-35" y="0"> </use> <use x="1001" xlink:href="#MJMAIN-30" y="0"> </use> </g> </g> </g> </g> </g> </svg> <span class="MJX_Assistive_MathML" role="presentation"> <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"> <mtr> <mtd> <mi> x </mi> <mo> ≤ </mo> <mn> 350 </mn> </mtd> </mtr> </mtable> </math> </span> </span> </span>  to represent the number of people who can attend a performance.  <span> This example demonstrates that </span> an inequality may not always convey the context of the situation. For example, 3.1267 people cannot attend the performance, nor can -15 people. The limitation on this inequality is that the solutions must come from the set of whole numbers: {0, 1, 2, 3, …}.
::在开场活动中,您使用不平等 x350 来代表能够参加表演的人数。 这个例子表明不平等不一定总能反映情况的背景。 例如, 3. 1267 人不能参加演出, 也不能 - 15 人。 这种不平等的局限性在于解决方案必须来自全套数字: {0, 1, 2, 3, ......}。

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The solutions in this particular scenario are the numbers in the following set: {0, 1, 2, 3, … , 348, 349, 350}. No fractions, no negatives, just whole numbers.
::在这种特定情况下,解决办法是以下一组数字:{0, 1, 2, 3, ......, 348, 349, 350}。没有分数,没有负数,只有整数。

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Use the interactive below to practice writing inequalities of real world situations. Afterwards, answer questions about the limitations of your created inequality.
::然后,回答关于你所创造的不平等的局限性的问题。

 

 

 

 

 

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Forklift Conundrum Revisited
::重新审视了叉车问题

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In the lesson ,  the forklift problem was first introduced.
::在教训中, 叉车问题首先被提出来。

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Example
::示例示例示例示例

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A forklift with a maximum lift weight of 3,300 lbs and has to transport bags of cement across a construction site. Each cement bag weighs 75 lbs. Write and solve an inequality to represent this situation.  What are the limitations of this inequality?
::最大提升重量为3 300磅的叉车,必须在建筑工地上运输水泥袋,每个水泥袋的重量为75磅。 撰写并解决不平等问题,以体现这种情况。 这种不平等的局限性是什么?

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This situation can be represented by the inequality   $\begin{array}{r}75x\le 3,300\end{array}$  and solved as follows:
::这种状况可以用不平等75x3,300来代表,解决情况如下:

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::75_75_75_75_75_45_44

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Answer: The solutions must be whole numbers and cannot be negative.
::回答:解决办法必须是整体数字,不能是消极的。

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Use the interactive below to practice writing and solving inequalities of real world situations. Afterwards, answer questions about the limitations of your created inequality.
::然后,回答关于你所创造的不平等的局限性的问题。