Question

If – 3x + 17 < – 13, then 

A.x ∈ (10, ∞)

B. x ∈ [10, ∞) 

C. x ∈ (–∞, 10] 

D. x ∈ [– 10, 10)

Answer 1

A. x ∈ (10, ∞)

-3x + 17 < -13

⇒ -3x < -30 [Subtracting 17 both side]

⇒ x > 10 [Division by negative number inverts the inequality sign]

⇒ x ∈ (10, ∞)