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Which of the following statement(s) is/a...

Which of the following statement(s) is/are true?
(A) Every subset of an infinite set is infinite.
(B) Every set has a proper subset.
(C) Number of subsets of every set is even.
(D) Every subset of a finite set is finite

A

A and B

B

A,B and C

C

B, C and D

D

D

Text Solution

Verified by Experts

The correct Answer is:
D
(a) Is false since the set N of all natural numbers is an infinite set having a finite subset, i.e., (1)
(b) is false since `phi` has not proper subsets. (c) is false since number of subsets of an empty set is odd (i.e., `2^(@)=1`).
(d) is clearly true.
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