The Venn diagram below shows the number of elements in set A and B. Ifn(A UB). The Venn diagram on the below shows the number of elementsin set A and B. If n(A U B) = 35, n(A N B) = 7, and n(B) = 19, find the valuesof x and y.AВx (7) yO x = 7, y = 28O x = 9, y = 13O x = 16, y = 12O x = 17, y = 18

Given: nA∪B=35, nA∩B=7, nB=19 As nB=19 ⇒y+7=19⇒y=12

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

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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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”.

Question

The Venn diagram below shows the number of elements in set A and B. If
n(A UB). The Venn diagram on the below shows the number of elements
in set A and B. If n(A U B) = 35, n(A N B) = 7, and n(B) = 19, find the values
of x and y.
A
В
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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