Correct Answer: Option A

Explanation

y + x - x² ≥ 0
y = x³ - x
on x axis, y = 0
∴x² - x = 0
x(x² - 1) = 0
x = 0 or x² - 1 = 0
x² = 1
x = +/-1
∴ x = -1, 0 and 1 which are the roots of the equation y + x - x² ≥ 0
Also y - x ≤ 0
=> y ≤ 0 + x
∴ the region where y ≤ 0

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