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Question
Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line
Solution
−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, ∞,)`
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