Page 161 - C:\Users\azizu\Documents\Flip PDF Professional\Matematics-Form-1-1\
P. 161

7.1  Inequalities
                                                                                   LEARNING
                                                                                         STANDARDS
                     What are inequalities?                                    Compare the values

                                                                               of numbers, describe
               In our daily lives, we often make comparisons between two       inequality and hence,
               quantities with different values. We compare the quantities in   form algebraic inequality.
               terms of number, price, temperature, size, height, mass and
               so on.

                      RM1400         RM1600
                                                                      x g                80 g
                                                                      50 g




                         A              B

               Which smart phone brand is cheaper?                     Which has a larger mass?

               By comparison, we found that
               •  the price of smart phone brand A is cheaper than brand B.     Discuss the relationship
       CHAPTER
       7       •  the mass (x + 50) g is greater than 80 g.                     between two quantities
                                                                                in real-life situations
                    The relationship between two quantities that do not have    which involve the usage
               the same value is known as an inequality.                        of ‘more than’ or
                                                                                ‘less than’.
               Compare the values of numbers

               In chapter 1, we have learned how to compare the value of an integer with another integer
               based on its position on a number line. In this chapter, we shall write this comparison by
               using mathematical symbols.
               For example:

                   –3 –2 –1     0  1   2   3   4                   –8 –7 –6 –5 –4 –3 –2 –1

               Observe  the position of the pair of           Observe  the position of the pair of
               numbers –2 and 3 on the number line.           numbers –7 and –2 on the number line.
               –2 lies to the left of 3,                      –2 lies to the right of –7,
               therefore –2 is less than 3.                   therefore –2 is more than –7.
               The  symbol ‘,’ is  used to represent          The  symbol ‘.’ is  used to represent
               ‘less than’.                                   ‘greater than’.
               So, ‘–2 is  less than 3’ is  written as        So, ‘–2 is greater than –7’ is written as
               ‘–2 , 3’.                                      ‘–2 . –7’.

                                        –2 , 3 and –2 . –7 are inequalities.




           150
           Chapter 7



       07 TB Math F1.indd   150                                                                       11/10/16   12:16 PM
   156   157   158   159   160   161   162   163   164   165   166