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Consider the following statement: If x and y are integers and x - y is odd,...

Consider the following statement:

If x and y are integers and x - y is odd, then x is odd or y is odd.

Answer the following questions about this statement.

2(a) Provide the predicate for the starting assumption for a proof by contraposition for the given statement.

2(b) Provide the conclusion predicate for a proof by contraposition for the given statement.

2(c) Prove the statement is true by contraposition.

2(d) Prove that the converse is not true.

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