Question

Solve the inequality ||x-5|+2|≤3

Answer 1

Step-by-step explanation:

||x-5|+2|≤3

-3 ≤ (|x-5| +2) ≤ 3

-5 ≤ |x-5| ≤ 1

|x-5| ≥ -5 => not required

|x-5| ≤ 1

-1 ≤ x-5 ≤ 1

4 ≤ x ≤ 6

the Solutions:

{4≤ x ≤ 6}