Describing equivalence relation

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Reference no: EM1350585

Q1) Let X = Z × (Z {0}). Define the relation on X by (x, y) (z, t) ↔ xt = yz for every (x, y), (z, t) ∈ X.

(a) Show that this is an equivalence relation on X.

(b) Find the equivalence classes of (0, 1) and of (3, 3).

Reference no: EM1350585

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