Question

If –3x + 17 < –13, then ______.

Options

• x ∈ (10, ∞)

• x ∈ [10, ∞)

• x ∈ (–∞, 10]

• x ∈ [–10, 10)

Answer 1

If –3x + 17 < –13, then x ∈ (10, ∞).

Explanation:

Given that –3x + 17 < –13

⇒ –3x < –17 – 13

⇒ –3x < –30

⇒ 3x > 30

⇒ x > 10

⇒ x ∈ (10, ∞)