Question

Find the Absolute value inequality

Answer 1

- 2 ≤ x ≤ 6

Explanation:

inequalities of the type | x | ≤ a ,have solution of the form

- a ≤ x ≤ a

given

|
`(1)/(2)` x - 1 | ≤ 2 , then

- 2 ≤
`(1)/(2)` x - 1 ≤ 2 ( add 1 to each interval )

- 1 ≤
`(1)/(2)` x ≤ 3 ( multiply each interval by 2 )

- 2 ≤ x ≤ 6