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Solutions for Mathematical Proofs: A Transition to Advanced Mathematics | 3rd Edition | ISBN: 9780321797094 | Authors: Gary Chartrand, Albert D. Polimeni, Ping Zhang 9780321797094

Solution for problem 4.20 Chapter 4

(a) Result 4.12 states: Let n Z. If n2 n (mod 3), then n 0 (mod 3) and n 1 (mod 3)

Mathematical Proofs: A Transition to Advanced Mathematics | 3rd Edition


Problem 4.20

(a) Result 4.12 states: Let n Z. If n2 n (mod 3), then n 0 (mod 3) and n 1 (mod 3). State andprove the converse of this result.(b) State the conjunction of Result 4.12 and its converse using if and only if.

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(a) Result 4.12 states: Let n Z. If n2 n (mod 3), then n 0 (mod 3) and n 1 (mod 3)