Problem

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

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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Solutions For Problems in Chapter 3.4