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Question

Let A={x:xN and x22x35<0} and B={x:xZ and 1<x+2<10}. Then n(AΔB) is

A
1
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B
2
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C
8
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D
7
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Solution

The correct option is B 2
x22x35<0
(x+5)(x7)<0
x(5,7)
So, A={1,2,3,4,5,6}
n(A)=6

1<x+2<10
1<x<8
So, B={0,1,2,3,4,5,6,7}
n(B)=8

n(AΔB)=n(A)+n(B)2n(AB)
=6+82×6
=2

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