Logic and Proof SolutionsQuestion 1Which of the following are true, and which are false? For the ones which are true, give aproof. For the ones which are false, give a counterexample.(a)xis an odd number⇒x2is an odd number. ((b)yis an even number⇒y3is an even number. ((c)x+yis even⇒xandyare both odd. ((d)xyis even⇒xandyare both even. (
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Elementary arithmetic, Evenness of zero, proof solutions