Question: Question 1: a. Determine whether the given relation is an equivalence relation on the given set. Justify your answers. i. Let S = R, and

Question 1: a. Determine whether the given relation is an equivalence relation on the given set. Justify your answers. i. Let S = R, and define the relation 73 = {(33, y) l 3:2 = y2}. That is 3: is related to y if and only if :52 = y2. ii. For any set 3, define the relation Is = {(33, 9:) | I E S}. b. Below given is a partition of A = {(1, b, c, d, e, f, 9}. Find the equivalence relation on A induced by the partition. That is write down all the related pairs as a subset of A X A. P = {{a, b}, {ca 65}: {8, f}, {9}}

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