If X = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9} and Y = {3 , 6 , 9 , 12 , 15 , 18} , find $(X - Y)$ and $(Y -X)$ and illustrate them in Venn diagram.
Given :
X = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9} and Y = {3 , 6 , 9 , 12 , 15 , 18}.
To find :
We have to find $(X - Y)$ and $(Y -X)$.
Solution :
X = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9}
Y = {3 , 6 , 9 , 12 , 15 , 18}
$(X - Y)$ = {1 , 2 , 4 , 5 , 7 , 8 } [Values only in X but not in Y]
$(Y -X)$ = {12 , 15 , 18} [Values only in Y but not in X]
Venn diagram :
$(X - Y)$ = {1 , 2 , 4 , 5 , 7 , 8 }
$(Y -X)$ = {12 , 15 , 18}.
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