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41

Step-by-step Answer
PAGE: 287SET: ExercisesPROBLEM: 41
Please look in your text book for this problem Statement

The inequality

Solve inequality.

                             (Original inequality)

        (Add to each side)

                                       (Simplify)

Therefore, the solution set is .

Check:

Case(i): Consider .

                           (Original inequality)

                       (Substitute in the inequality)

                                 (Simplify)

Therefore, the stament is true.

Case(ii): Consider .

                            (Original inequality)

                       (Substitute in the inequality)

                                  (Simplify)

Therefore, the stament is false.

Case(iii): Consider .

                           (Original inequality)

                      (Substitute in the inequality)

                                 (Simplify)

Therefore, the stament is true.

Therefore, the solution set is .

 Graph:

Graph the inequality on a number line is

Note: The dot indicates that the value is included in the solution set.

The solution set is .

Graph of the inequality on a number line is



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