41

 PAGE: 287 SET: Exercises PROBLEM: 41

The inequality

Solve inequality.

(Original inequality)

(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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