Section outline

  • In This Lesson
    ::在本课程中

    You will practice interpreting and writing inequalities within a context. 
    ::您将在特定背景下解释和写作不平等。

    Recall the definition of an equation : two expressions joined by an equal sign. An inequality is two expressions, joined by one of four inequality signs ; <, ≤, >, and ≥. These signs are read:
    ::回顾一个等式的定义:两个表达式加一个等号。不平等是两个表达式,加上四个不平等迹象中的一个; < , , , , , , , , , 和 。 这些迹象读出 :

    < less than
    ≤ less than or equal to
    > greater than
    ≥ greater than or equal to

      

    Matching Inequalities
    ::匹配不平等

    In this interactive, you will practice matching inequalities to phrases. Try to notice any key words that help you match the phrase to the inequality. 
    ::在此互动中, 您将练习将不平等与词组匹配。 请注意任何有助于您匹配该词组的关键词 。

     

    INTERACTIVE
    Matching Inequalities
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    • Match the inequalities on the left to the correct mathematical phrases on the right by dragging the red dot to the appropriate open circle.
      ::通过将红点拖到适当的开放圆圈,将左边的不平等与右边正确的数学短语匹配。
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    Discussion Question
    ::讨论问题

    Do you think that "5 times a number and 6 is less than 9" is the same as "9 is greater than 6 and 5 times a number"? Why or why not? for more examples of two-step inequalities!
    ::你认为“5乘以一个数字,6乘以少于9”与“9大于6,5乘以一个数字”相同吗?为什么或为何不?更多的两步不平等的例子!

    Compare the phrases in the discussion question . Determine the similarities and differences between the two and see if you can determine another way to reword any of the inequalities in the interactive above. This will help you better understand inequalities and how to write them.
    ::比较讨论问题中的短语。 确定两者的相似性和差异, 并查看您能否确定另一种方式来重新措辞上述互动中的任何不平等。 这将帮助您更好地理解不平等以及如何写出不平等。

     

    Going to the Gym
    ::前往健身房

    Gabriella is looking into a gym membership. To stay within her budget, she needs to spend less than $400 for the entire year. The gym, Pump-U-Up, offers students a deal where it is $50 to join and then $28 per month. A second gym, Get Fit, offers a student deal such that it is only $20 to join, but $30 per month. Help Gabriella write  an inequality  for each gym .
    ::Gabriella正在寻找一个体育馆会员。 为了保持在她的预算范围内,她需要花费不到400美元的时间。 健身房,Pump-UUUUUUUUU,向学生提供50美元可以参加的交易,然后每月28美元。第二个健身房,Get Fit,提供学生交易,只有20美元可以参加,但每月30美元。帮助Gabriella为每个健身房写一个不平等的字。

     

    INTERACTIVE
    Going to the Gym
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    • Move the numbers and inequality sign to the correct spots to setup the problem described above.
      ::将数字和不平等符号移到正确位置,以设置上述问题。
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    What Are the Words?
    ::语言是什么?

    In this interactive, you will create a word problem that describes the inequality  3 x + 5 ≥ 50 .  Below are several phrases that you can put together to make a word problem . Create two different scenarios from the phrases. You will need to include "and" as one of your phrases in each scenario.
    ::在此互动中, 您将产生一个描述 3x+550 不平等的单词问题 。 下面是您可以拼凑的多个词组来制造单词问题 。 创建两个与这些词组不同的假想 。 您需要在每个假想中将“ 和” 作为您的词组之一 。

     

    INTERACTIVE
    What Are the Words? (Inequalities)
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    • Choose the correct phrases from the drop down lists to finish word problem described by the inequality at the top.
      ::从下拉列表中选择正确的词组, 以完成顶部不平等描述的单词问题 。
    • Click the button to change the scenario.
      ::单击按钮更改方案。
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    In general, solving an inequality  uses the same process as solving an equation. 
    ::一般而言,解决不平等问题采用与解决等式相同的程序。

       Summary
    ::摘要

    • Solving an inequality is similar to solving an equation; to isolate the variable use inverse operations.
      ::解决不平等问题类似于解决方程式;将变量使用反向操作分离出来。
    • The symbol < means less than.
      ::符号 < 表示小于 。
    • The symbol  ≤  means less than or equal to.
      ::符号 = 表示小于或等于 。
    • The symbol > means greater than.
      ::符号 > 表示大于。
    • The symbol  ≥  means greater than or equal to.
      ::符号 = 表示大于或等于。