Question -
Answer -
(i) False
No, it is not necessary for any two set A and B to be either A B or B A.
(ii) False
A = {1,2,3} It is finite subset of infinite set N of natural numbers.
(iii) True
Logically smaller part of something finite can never be infinite.
So, every subset of a finite set is finite.
(iv) False
Null set or empty set does not have a proper subset.
(v) False
We do not repeat elements in a set, so the given set becomes {a, b} which is a finite set.
(vi) True
Equivalent sets have same number of elements.
(vii) False
In A = {1}
The subsets can be ╧Х and {1} which are finite.