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Solve the inequality 2 - x > x\(^2\).

Mathematics
JAMB 2000

Solve the inequality 2 - x > x\(^2\).

  • A. x < -2 or x > 1
  • B. x > 2 or x< -1
  • C. -1 < x < 2
  • D. -2 < x < 1
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Correct Answer: Option D
Explanation

2 - x > x\(^2\)

2 - x - x\(^2\) > 0

(x+2)(x-1) < 0

Either (x + 2) > 0 and (x - 1) < 0.

x + 2 > 0 \(\implies\) x > -2.

-2 < x < 1

There is an explanation video available below.


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Explanation Video

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