For positive a, b and m with m < 0 or m > 1, compare (a^m + b^m)/2 with ((a + b)/2)^m.

A (a^m + b^m)/2 ≤ ((a + b)/2)^m

B (a^m + b^m)/2 = ((a + b)/2)^m for all a, b

C (a^m + b^m)/2 ≥ ((a + b)/2)^m

D (a^m + b^m)/2 and ((a + b)/2)^m are incomparable

Solution

Correct Answer: Option C

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