Solve the inequality 2 – x > x\(^2\).
- x < -2 or x > 1
- x > 2 or x< -1
- -1 < x < 2
-
-2 < x < 1
The correct answer is: 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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