Let A = {-3, –2, –1, 0, 1, 2, 3, 4, 5, 6} and define a relation R on A as follows: For all x, y E A, x R y 3|(x – ). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [0] [1] = [2] = [3] How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)

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Q: Let  A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n ∈ A,…

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Q: Let A = {-5, –4, –3, -2, –1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n E A,…

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Q: Let A = {-3, -2, –1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, n E…

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Q: 3. Let R be the relation defined on Z by aRb if and only if 5 | (4a + b). Prove that R is an…

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Q: Let A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n ∈ A,…

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Q: Define a relation " on Z by a ~ b if 3a + 4b = 7n for some integer n. Prove that - defines an…

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A: Equivalence relation and classes

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Q: Let A = {-3, -2, -1, 0, 1, 2, 3, 4, 5} and define a relation R on A as follows: For all m, n E A, m…

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Q: Let S = {0,±1, ±2, ±3,..., 8} and consider the relation R on S defined by (a, b) E R if and only if…

A: 1.) Reflexive : As [ a ]4 = [ a ]4 for all a in S so ( a, a ) lies in R . 2.) Symmetric : If ( a, b…

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Q: Let A (-4, -3, -2, -1,0, 1, 2. 3, 4, 5, 6) and define a relation R on A as follows For all m, nE A,…

A: Given A={-4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6}

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Q: Let A = {-5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n e A,…

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