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The area (in sq. units) of the region $A = {(x,y) : |x| + |y| \leq 1,\ 2y^2 \geq |x|}$ is:
(1) $\frac{1}{3}$
(2) $\frac{7}{6}$
(3) $\frac{1}{6}$
(4) $\frac{5}{6}$
By symmetry, required area $= \frac{5}{6}$.
BETA
