Question

Absolute value inequality

Answer 1

- 7 < x < 11

Explanation:

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

- a < x < a

given

| x - 2 | < 9 , then

- 9 < x - 2 > 9 ( add 2 to each interval )

- 9 + 2 < x - 2 + 2 < 9 + 2 , that is

- 7 < x < 11