Solve the inequality 2 – x > x(^2).

Solve the inequality 2 – x > x(^2).

  • A.
    x 1
  • B.
    x > 2 or x
  • C.
    -1
  • D.
    -2
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

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