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  3. suppose a = {(a, b)| a, b ? z} = z × z. let r...

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

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Advance Math

Suppose A = {(a, b)| a, b ? Z} = Z × Z. Let R be the relationdefine 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)].

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