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JAMB Mathematics 2000 Question 21

Question 21

Inequalities

Solve the inequality 2 − x > x2.

  1. A.x < −2 or x > 1
  2. B.x > 2 or x < −1
  3. C.−1 < x < 2
  4. D.−2 < x < 1
Show the answer and explanation

Answer: D (−2 < x < 1)

Explanation

Rearrange to x2 + x − 2 < 0, i.e. (x + 2)(x − 1) < 0. The product is negative between the roots, so −2 < x < 1.