State which of the following sets are finite sets or infinite set. In case of finite set, mention the order/cardinal number.
(i) `A={x:x in Z and x^(2)=64}`
(ii) `B={x:x in N and x^(2)-3x+2=0}`
(iii) `C={"x:x is a prime number"}`
(iv) `D={x: x in Z and 3x-2=11}`

Explanation

(i) A={-8,8} so, A is finite set n(A)=2
(ii) B={1,2} so, A is a finite set, n(B)=2
(iii) C={2,3,5,7,11,….}C is an infinite set
(iv) 3x-2=11
`Rightarrow x=(13)/(3)`
`"But x"=(13)/(3) in Z`
So, `D=phi` it is a finite set.
n(D)=0