Page 37 - 新思维数学活动用书8 样章
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2   Expressions, formulae and equations



                   Challenge

                   12 This is part of Raj’s homework.


                         Question
                                                     1          3
                         a  Show the inequality 5   < n ⩽ 8   on a number line.
                                                     5          4
                         b  Write
                             i  the smallest integer n could be
                             ii  the greatest integer n could be
                             iii  a list of the integer values n could be.

                         Answer
                         a                               b  i  smallest integer is 5

                                5  6    7   8    9           ii  largest integer is 9
                                                             iii  n could be 5, 6, 7, 8, 9


                      a  Raj has made three mistakes. What are the mistakes he has made?
                      b  For each inequality, write
                          i   the smallest integer n could be              ii  the greatest integer n could be

                          iii  a list of the integer values n could be.
                                    1
                                                                                      3
                              A  6  ⩽ n <10  4                                 B  −7  < n ⩽ −3 7
                                    3        5                                        8        9
                   13 Match each inequality with:

                      a  the correct smallest integer                  b  the correct largest integer
                      c  the correct list of integers.

                                                   Smallest       Largest
                             Inequality                                            List of integers
                                                   integer        integer

                        A   1.9 ⩽ x ⩽ 5.5           i   0          P   5         W  1, 2, 3, 4, 5, 6




                        B   0.2 < x < 6.1           ii  2          Q   7         X   0, 1, 2, 3, 4



                        C   −0.5 < x ⩽ 4.9          iii  3         R   6         Y   2, 3, 4, 5




                        D   2.95 ⩽ x < 7.85         iv  1          S   4         Z   3, 4, 5, 6, 7









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