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1)Let ? be an integer. Prove that ?^2 is even if and only if ? is...

1)Let ? be an integer. Prove that ?^2 is even if and only if ? is even. (hint: to prove that ?⇔? is true, you may instead prove ?: ?⇒? and ?: ? ⇒ ? are true.)

2) Determine the truth value for each of the following statements where x and y are integers. State why it is true or false. ∃x ∀y x+y is odd.

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Answer #1

Hello,

Answer of both questions has been attached in hand written form, as the answer was very long. So please refer that.

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