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(a) Let a, m Z, where mla. Prove that if a is odd, then m is odd. (b) Let b Z. Prove that b

(a) Let a, m Z, where mla. Prove that if a is odd, then m is odd. (b) Let b Z. Prove that b = b (mod 3). Is it true that b5 = b (mod 3)? Justify.

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a Since ma we know that there exists an integer k such that akm Suppose a is odd Then a2n... blur-text-image

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