If |x + 3| ≥ 10 , then(A) x ∈ (– 13, 7] (B) x ∈ (– 13, 7](C – InterviewSolution

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1.

If |x + 3| ≥ 10 , then(A) x ∈ (– 13, 7] (B) x ∈ (– 13, 7](C) x ∈ (– ∞, – 13] ∪ [7, ∞) (D) x ∈ [– ∞, – 13] ∪ [7, ∞)

Answer»

(D) is the correct choice, since |x +3| ≥ 10 ,

⇒ x + 3 ≤ – 10 or x + 3 ≥ 10

⇒ x ≤ – 13 or x ≥ 7

⇒ x ∈ (– ∞, – 13] ∪ [7, ∞)

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