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2.6  Inequalities



                         2.6  Inequalities



                     Remember:  <          means ‘is less than’

                                    >      means ‘is greater than’.                             Key words

                                                                                                inequality
                     Exercise 2.6                                                               integer


                     Focus

                     1  Write ‘true’ or ‘false’ for each of these statements. The first one has been done for you.
                         a  x < 9 means ‘x is less than 9’.     True

                         b  x > 3 means ‘x is less than 3’.
                         c  x < 2 means ‘x is greater than 2’.
                         d  x > 7 means ‘x is greater than 7’.
                     2  Match each inequality (A to D) with its correct meaning (i to iv).
                         The first one has been done for you: A and ii.

                         A    x > 4               i    x is less than 12.

                         B    x < 4               ii   x is greater than 4.
                         C    x > 12              iii  x is less than 4.

                         D    x < 12              iv   x is greater than 12.

                     3  Write these statements as inequalities. The first one has been done for you.
                         a  x is greater than 2.    x > 2                 b  y is greater than 5.
                         c  m is less than 15.                            d  b is less than 7.
                     4  Match each inequality (A to D) with its correct number line

                         (i to iv). The first one has been done for you: A and iv.              Tip
                                                                                                Remember:
                         A  x > −5 i                                                            You use an
                                              3     4    5     6     7                          open circle (o)
                         B  x < 5  ii                                                           for the < and

                                              –9   –8    –7   –6    –5   –4                     > inequalities.
                         C  x < −5 iii

                                              3     4    5     6     7
                         D  x > 5  iv
                                              –6   –5    –4   –3    –2   –1










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