Question

x and b are real numbers. If b > 0 and |x| > b, then ______.

Options

• x ∈ (–b, ∞)

• x ∈ [–∞, b)

• x ∈ (–b, b)

• x ∈ (–∞, –b) ∪ (b, ∞)

Answer 1

x and b are real numbers. If b > 0 and |x| > b, then x ∈ (–∞, –b) ∪ (b, ∞).

Explanation:

Given that |x| > b, b > 0

⇒ x < –b or x > b

⇒ x ∈ (–∞, –b) ∪ (b, ∞)