Either show the following relations on {0, 1, 2, 3} is an equivalence relation, or show which qualities of an equivalence relation it lacks: a. {(0,0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} b. {(0,0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 2), (3, 3)}

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A: As per answering guideline, we can answer only one question at a time. Please repost other question…

Q: 5. Let a and b be real numbers, not both zero. For (x1, Y1) and (x2, 42) in R², (x1, yı) ~ (x2, y2)…

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