The Venn diagram below shows the number of elements in set A and B. n(A UB). The Venn diagram on the below shows the number of element in set A and B. If n(A U B) = 35, n(AN B) = 7, and n(B) = 19, find the value of x and y. %3D A B x (7) y O x = 7, y = 28 O x = 9, y = 13 O x = 16, y = 12 O x = 17, y = 18

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A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.