JAMB - Mathematics (2000 - No. 16)
Solve the inequality 2 - x > x\(^2\).
x < -2 or x > 1
x > 2 or x< -1
-1 < x < 2
-2 < x < 1
설명
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