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