Question

What is the solution to |2x − 8| < 2? A. 3 < x < 5 B. -5 < x < -3 C. x > 5 or x < 3 D. x > -3 or x < -5

Answer 1

A

Explanation:

inequalities of the type | x | < a , always have solutions of the form

- a < x < a

given

| 2x - 8 | < 2 , then

- 2 < 2x - 8 < 2 ( add 8 to each interval )

6 < 2x < 10 ( divide each interval by 2 )

3 < x < 5