Q10 of 58 Page 12

A, B and C are subsets of Universal Set U. If A = {2, 4, 6, 8, 12, 20}, B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20} and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.

Given: A = {2, 4, 6, 8, 12, 20}, B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20}


To draw: Venn diagram showing relation of U, A, B and C sets


Here, U is a universal set


The intersection of two sets A and B, consists of all elements that are both in A and B.


For example: {1, 2} ∩ {2, 3} = {2}


Therefore,


A = {2, 4, 6, 8, 12, 20}, B = {3, 6, 9, 12, 15} and C = {5, 10, 15, 20}


⇒ A ∩ B = {6, 12}, B ∩ C = {15}, A ∩ C = {20}, A ∩ B ∩ C = {Φ}


The venn diagram showing relation of given sets is as follows:



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