(a) The relation R on R, defined as xRy if and only if | x -y | = 0 is: An equivalence relation Not an equivalence relation Don't know! (b) The relation R on Z, where rRy if and only if x = y (mod 13) is Not an equivalence relation An equivalence relation Don't know! (c) The relation R on R, where xRy if and only if x

Q: (b) Is an equivalence relation on Z? If not, is this relation reflexive, symmetric, or transitive?…

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Q: The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. I know the…

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Q: The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. the equivalence…

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Q: d) ((f g)| for some CEZ, for all xE Z, f(x) – g(x) = C} e) {f, 8) | f(0) = g(1) and f(1) = g(0)}

A: Part (d) From the given information: The relation is . Here, C is constant.

Q: (c) The reversed relation R is an equivalence relation. (d) So R is an equivalence relation if and…

A: (c) If R is an equivalence relation in a set X, then it is reflexive, symmetric and transitive.

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