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3.a) Let n be an integer. Prove that if n is odd, then (n^2) is also...

3.a) Let n be an integer. Prove that if n is odd, then (n^2) is also odd.

3.b) Let x and y be integers. Prove that if x is even and y is divisible by 3, then the product xy is divisible by 6.

3.c) Let a and b be real numbers. Prove that if 0 < b < a, then (a^2) − ab > 0.

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