A Relation R is Defined from a Set a = [2, 3, 4, 5] to a Set B = [3, 6, 7, 10] as Follows: (X, Y) ∈ R ⇔ X is Relatively Prime Toy Express R as a Set Ordered Pairs and Determine Its Domain and Range. - Mathematics | Shaalaa.com
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SOLVED:Let X denote the set of sequences with finite domain. Define a relation R on X as s R t if |domain s|=| domain t |and, if the domain of s is {m, m 1, …, m k} and the domain of t is {n, n 1, …, n k}, sm i=tn i for i=0, …, k (a) Show that R is an equivalence relation. (b) Explain in words what it means for two sequences in X to be equivalent under the relation R. (c) Since a sequence is a function, a sequence is a set of ordered pairs. Two sequences are equal if the two sets of ordered pair
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