Question: Mimic the proof given in the sample solutions for the proposition if a > 0 and b > 0, then ab > 0 to prove:

Mimic the proof given in the sample solutions for the proposition if a > 0 and b > 0, then ab > 0 to prove: (a) If a < 0 and b < 0, then ab > 0. (b) If a < 0 and b > 0, then ab < 0

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