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JAMB Mathematics 2019 Objective — Question 34

Question 34 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Solve the inequality 2−x > x²

A. x < -2 or x > 1
B. x > 2 or x < -1
C. -2 < x < 1Correct
D. -1 < x < 2

Explanation

2−x>x² ⇒ 0>x²+x−2 ⇒ 0>(x−1)(x+2) ⇒ (x−1)(x+2)<0. This holds when −2<x<1.

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