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How to solve for x, if |x-1| ≥ 3?(a) (-∞, -2) ∪ (4, ∞)(b) (-∞, -2] ∪ [4, ∞)(c) (0, -2] ∪ (4, 0)(d) (-∞, ∞) – {-2, 4}The question was posed to me during a job interview.The question is from Sets and their Representations in division Sets of Mathematics – Class 11

Answer» RIGHT choice is (b) (-∞, -2] ∪ [4, ∞)

EASY explanation: Given, |x-1| ≥ 3

= x-1 < -3 or x – 1 ≥ 3

= x ≤ -2 or x ≥ 4

Hence, x c (-∞, -2] ∪ [4, ∞).


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