Problem

Assume a, b, u, v are integers, u ≠ 0, v ≠0, and consider the statementA: “If an + bv = 0,...

Assume a, b, u, v are integers, u ≠ 0, v ≠0, and consider the statement

A: “If an + bv = 0, then a = b = 0.”

(a) Is A true? Give a proof or exhibit a counterexample.

(b) Write down the converse, negation, and contrapositive of A.

(c) Is the converse of A true? Give a proof or exhibit a counterexample.

(d) Answer 4(c) for the negation and contrapositive.

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