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Question

If A={x:x240,xZ} and B={y:y290,yZ}, then n(AB) is equal to

A
1
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B
4
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C
0
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D
10
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Solution

The correct option is C 0
x240
(x+2)(x2)0
(x+2)0 and (x2)0
or (x+2)0 and (x2)0
x2 and x2
or x2 and x2
x[2,2]
A={2,1,0,1,2}

y290
(y+3)(y3)0
(y+3)0 and (y3)0
or (y+3)0 and (y3)0
y3 and y3
or y3 and y3
y(,3][3,)
B={...4,3,3,4,...}
AB=ϕ
n(AB)=0

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