Question

If |x + 3| ≥ 10, then ______.

विकल्प

• x ∈ (–13, 7]

• x ∈ (–13, 7]

• x ∈ (–∞, –13] ∪ [7, ∞)

• x ∈ [–∞, –13] ∪ [7, ∞)

Answer 1

If |x + 3| ≥ 10, then x ∈ (–∞, –13] ∪ [7, ∞).

Explanation:

x ∈ (–∞, –13] ∪ [7, ∞) is the correct choice. Since |x + 3| ≥ 10.

⇒ x + 3 ≤ –10 or x + 3 ≥ 10

⇒ x ≤ –13 or x ≥ 7

⇒ x ∈ (–∞, –13] ∪ [7, ∞)