Is x^4+y^4>z^4 ? (a)
(1)X^2+Y^2>Z^2 (b)
for x=2, y=3, z=1, inequalities (a) and (b) are true
if x^2=1/2, y^2=1/3, and z=2/3 , the inequality (b) is true
however, (a) will be 1/4+1/9>4/9 which is not possible.
Hence, ans E

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