Page 163 - Math Course 1 (Book 1)
P. 163

Understanding Inequalities





                MO. 5 - L3b                                         Graph x ≤ 10 on a number line.


                    Graphing Inequalities                             Answer




                                                                             8    9     10    11    12
                         Let’s Begin                               The closed circle means the number 10 is included


                                                                   in the graph.


               Graph Inequalities                                 Write an Inequality

                Examples                                           Example


                 Graph x > 10 on a number line.                     Write the inequality for the graph.



                    Answer
                                                                           -40   -39    -38   -37   -36

                                                                    A closed circle is on –38, so the point –38 is
                         8      9     10    11    12
                                                                    included in the graph. The arrow points to the
                                                                    right, so the graph includes all numbers greater
                 The open circle means the number 10 is not         than or equal to –38.
                 included in the graph.

                 Graph x ≥ 10 on a number line.                       Answer      The inequality is x ≥ –38.


                    Answer
                                                                   Your Turn!


                          8     9     10    11    12              Graph Inequalities


                 The closed circle means the number 10 is           Graph x < 3 on a number line.
                 included in the graph.
                                                                   A.
                 Graph x < 10 on a number line.                              1     2     3     4     5


                    Answer                                         B.
                                                                             1     2     3     4     5


                          8     9     10    11    12               C.

                                                                             1     2     3     4     5
                 The open circle means the number 10 is not
                 included in the graph.                            D.

                                                                             1     2     3     4     5


                                                                     Answer


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