Which of the following relations on R are equivalence relations? Z,Q and R stands for set of integer, rational numbers and real numbers, respectively. Rx Rx ≤ y}. Rx R\x² - y² (a) T-{(x,y) (b) S = {(x,y) Q}.

Q: (24 pts) Either show the following relations are equivalence relations, or show which qualities of…

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Q: Let be the equivalence relation on Z defined by z~ y if and only if z-y is divisible by 15. Give…

A: Equivalence relation

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Q: 13. Which of these relations on {0, 1, 2, 3} are equivalence relations? Determine the properties of…

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Q: 3. Let X be a set and S and R equivalence relations on X. Prove or give a concrete counter example…

A: Since you have asked multiple questions, we will solve the first and second question for you. If you…

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