Suppose A = {(a, b)| a, b ∈ Z} = Z × Z. Let R be...

Suppose A = {(a, b)| a, b ∈ Z} = Z × Z. Let R be the relation define on A where (a, b)R(c, d) means that 2 a + d = b + 2 c.

a. Prove that R is an equivalence relation.

b. Find the equivalence classes [(−1, 1)] and [(−4, −2)].

Expert Solution

Colby Messinger answered 1 year ago

Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if...

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Suppose A = {(a, b)| a, b ∈ Z} = Z × Z. Let R be...

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