For each of the statements below, determine for yourself if the statement is true or false. If it is true, write a direct proof. If it is false, use a counterexample to show that it is false (a) For all integers m and n, if mn ≡ 0 (mod 8), then m ≡ 0 (mod 8) or n ≡ 0 (mod 8). (b)  For all integers a, if a ≡ 7 (mod 10), then a^2 ≡ 9 (mod 10).

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A:

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A: I will explain it in details,

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