Question

How do I solve this equation?

Answer 1

- 1 ≤ x ≤
`(5)/(2)`

Explanation:

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

- a ≤ x ≤ a

Given

| 4x - 3 | ≤ 7 , then

- 7 ≤ 4x - 3 ≤ 7 ( add 3 to the 3 intervals )

- 4 ≤ 4x ≤ 10 ( divide each interval by 4 )

- 1 ≤ x ≤
`(10)/(4)` , that is

- 1 ≤ x ≤
`(5)/(2)`