Which of the following statements are true?
i. For any set A, A is a proper subset of A
ii. For any set A, Φ is a subset of A
iii. For any set A, A is a subset of A
i. For any set A, A is a proper subset of A
No set is proper subset of itself
(or)
Let us say A = {1,2,3,4}
For a proper subset n(A) ≠ n(A)
But here n(A) = n(A)
So, it is not proper subset to itself.
ii. For any set A, Φ is a subset of A
it is a property of null set, that it is subset to any other set except to itself (Φ)
So, it is true.
iii. For any set A, A is a subset of A
It is also property of subset that it is subset to itself and null set (Φ)
So, it is also true
Since (ii) & (iii) is correct statement. option (B) is the correct answer.
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.