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Question

The correct options among the following is/are

A
A={x,xN and x24}, then n(A)=2
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B
B={x,xZ and |x|3}, then 2B
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C
C={x,xR and |x|2}, then 4C
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D
D={x,where x is a prime number less than 9}, then 1D
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Solution

The correct options are
A A={x,xN and x24}, then n(A)=2
B B={x,xZ and |x|3}, then 2B
C C={x,xR and |x|2}, then 4C
A={x,xN and x24}
x[2,2]
But xN
x={1,2}
So, n(A)=2

B={x,xZ and |x|3}
x[3,3]
But xZ
x={3,2,1,0,1,2,3}
So, 2B

C={x,xR and |x|2}
|x|0, xR (always)
So, 4C

D={x,where x is a prime number less than 9}
x={2,3,5,7}
1 is not a prime number.
So, 1D

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