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For each of the following, prove that the relation is an equivalence relation. Then give information about the equivalence classes as specified. The relation R on R given by x R y iff x - y Epsi Q. Give the equivalence class of 0; of 1, of. The relation V on R given by x Vy iff x = y or xy = 1. Give the equivalence class of 3; of -2/3; of 0. The relation T on R given by x Ty iff sin x = sin y. Describe the equivalence class of 0; of pi/2; of pi/4.
