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3. An erroneous proof of the statement If n is an even integer, then n2 is an even integer. is: Proof. m=10 is an even

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3. An erroneous proof of the statement "If n is an even integer, then n2 is an even integer." is: Proof. m=10 is an even integer since 10=25.m2=(10)2=100, which is even since 100=250. Therefore, if n is an even integer, then n2 is an even integer. Explain why the proof is wrong, and give a correct proof

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