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State which of the following sets are fi...

State which of the following sets are finite sets or infinite. In case of finite set, mention the order of cardinal number
(i) `A=("x:x is a prime number and "x lt 15)`
(ii) `B=(x:x in N, and 3x+2=11)`
(iii) `C=(x:x in N and x^(2)-14x+3=0)`
(iv) `D=(1,2,3,4....)`

Text Solution

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(i) Finite set, n(A)=6,
(ii) Finite set, n(B)=1
(iii) Finite set, n(C)=0
(iv) Infinite set
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