Question: 1. Consider the following relation R : N - N given by: R- {(n, m) : n - m = 6k, for some integer /}.

1. Consider the following relation R : N - N given by: R- {(n, m) : n - m = 6k, for some integer /}. (a) Prove that R is an equivalence relation. (b) Find (3) , the equivalence class of the element 3 with respect to the relation R. (c) Does 1, 345 E (5] R? Justify. (d) How many elements are there in the quotient set N/R? In other words. how many different equivalence classes are there? Justify

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