Question: I need help with these two problems please and please make it legible with explanations. Exercise 1.3.1. Let x be the relation on N X

I need help with these two problems please and please make it legible with explanations.

I need help with these two problems please andI need help with these two problems please andI need help with these two problems please andI need help with these two problems please and
Exercise 1.3.1. Let x be the relation on N X N dened by (a, b) % (ad) if and only if azd = 021), for all ((1,1)), (ad) 6 N X N, where n2 is an abbreviation for n - n. (1) Prove that a: is an equivalence relation. (2) List or describe all the elements in [(2, 3)]. Exercise 1.5.3. [Used in Theorem 1.5.5 and Theorem 1.5.6.] Let x E Z and y E Z*. (1) Prove that [ (x, y)] = 0 if and only if x = 0. (2) Prove that [(x, y)] = 1 if and only if x = y. (3) Prove that 0

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