Question

Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line

Answer 1

−3|x| + 5 ≤ −2 

⇒ −3|x| ≤ – 2 – 5 (= − 7)

− 3|x| ≤ – 7

⇒ 3|x| ≥ 7

⇒ `x ≤  7/3`

or

⇒ `x ≥ 7/3`

(i.e.) `x ∈ (- ∞, - 7/3] ∪ [7/3, ∞,)`