Gve a proof by cases that for integers mn we have mn mn
Give a proof by cases that for integers m,n, we have |mn| = |m||n|. Hint: Consider four cases: (1) m ≥ 0 and n ≥ 0, (2) m ≥ 0 and n < 0, (3) m < 0 and n ≥ 0, and (4) m < 0 and n < 0.
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