Page 56 - 新思维数学学生用书8 样章
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2.6  Inequalities




                     14  Art has these cards.

                             2y + 14    8(y − 12)     y  − 18        =            4           −2          −20
                                                      4

                          He chooses one blue card, the red card and one yellow card to make an equation.
                          Which blue and yellow card should he choose to give him the equation with

                          a    the largest value for y
                          b    the smallest value for y?
                          Explain your decisions and show that your answers are correct.


                       Summary checklist

                           I can understand equations and solve them.
                           I can write equations and solve them.





                         2.6  Inequalities





                       In this section you will …                                               Key words

                       •    use letters and inequalities to represent open and                  closed interval
                            closed intervals.
                                                                                                inequality

                     You have already learned how to use a letter and an inequality sign        integer
                     to represent lots of numbers.

                     Remember the inequality signs:                                             Tip
                       <  means ‘is less than’                                                  Remember that
                       ≤  means ‘is less than or equal to’                                      you use an
                       >  means ‘is greater than’                                               open circle ( )
                       ≥  means ‘is greater than or equal to’                                   for the < and >

                     So if you see the inequality x > 5, this means that x can be any number    inequalities and a
                     greater than 5.                                                            closed circle ( )
                     If you see the inequality y ≤ 2, this means that y can be any number       for the ≤ and ≥

                     less than, or equal to, 2.
                                                                                                inequalities.











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