Solve the inequality 2 - x > x\(^2\).
A
x 1
B
x > 2 or x< -1
C
-1 < x < 2
D
-2 < x < 1
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #723)