# Find counterexamples to each of these statements about congruences. a) if ac ≡ bc (mod m), where a, b, c, and m are integers with m ≥ 2, then a ≡ b (mod m). b) if a ≡ b (mod m) and c ≡ d (mod m), where a, b, c, d, and m are integers with c and d positive and m ≥ 2, then ac ≡ bd (mod m).

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Find counterexamples to each of these statements about congruences.
a) if ac ≡ bc (mod m), wh...
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