(Answered) Construct a rigorous proof using the methods of direct

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Construct a rigorous proof using the methods of direct proof, proof by contradiction and proof by contraposition.

Consider the claim: If m is an even integer, then m²+5m-1 is an odd integer.

(a.) Prove the claim using a direct proof.

(b.) State the converse. Is the converse true? Provide a proof or give a counterexample.

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