Question

Solve the inequality.

|2x + 10| > 26
A. x < –36 or x > 16
B. x > –18 or x < 8
C. x < –18 or x > 8
D. x < –8 or x > 8

Answer 1

C

Explanation:

Inequalities of the type | x | > a, always have solutions of the form

x < - a or x > a, that is

Given

| 2x + 10 | > 26, then

2x + 10 < - 26 OR 2x + 10 > 26 ( subtract 10 from both sides of both )

2x < - 36 OR 2x > 16 ( divide both sides by 2 of both )

x < - 18 OR x > 8 → C