Page 162 - Math Course 1 (Book 1)
P. 162

Understanding Inequalities




        Determine Truth of an Inequality                    Write an inequality for the following sentence.
                                                            Your age is greater than 12 years.
         Examples                                           A. a < 12

                                                            B. a > 12
          For the given value, state whether the inequality   C. a ≤ 12
          is true or false. s – 9 < 4, s = 6                D. a ≥ 12

          s – 9 < 4             Write the inequality.        Answer

          6 – 9 < 4             Replace s with 6.

              –3 < 4            Simplify.



            Answer      The sentence is true.                CAFETERIA
                                                             The school cafeteria allows each student no
                                                             more than 2 servings of dessert during lunch.
                                                             Write an inequality to describe this situation.
          For the given value, state whether the inequality
          is true or false.
                                                             A. s < 2
                a                                            B. s > 2
          14 ≤        + 1, a = 36
                3                                            C. s ≤ 2
                a                                            D. s ≥ 2
          14 ≤        + 1, a = 36  Write the inequality.
                3                                            Answer
               36
          14 ≤        + 1    Replace a with 36.
                3
             ?
          14 ≤ 12 + 1        Simplify.
          14 ≤ 13            Simplify.


                                                           Determine Truth of an Inequality
            Answer      The sentence is false.
                                                             For the given value, state whether the inequality
                                                             is true or false. 12 – m > 7, m = 5

         Your Turn!                                          A. true
                                                             B. false
                                                             C. sometimes true
        Write Inequalities                                   D. cannot be determined

          Write an inequality for the following sentence.     Answer
          Your height is less than 48 inches.

          A. h < 48
          B. h > 48                                          For the given value, state whether the inequality
          C. h ≤ 48                                          is true or false.       + 3 ≤ 6, x = 10
                                                                          20
          D. h ≥ 48                                                        x
                                                             A. true
           Answer
                                                             B. false
                                                             C. sometimes true
                                                             D. cannot be determined

                                                              Answer






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