Q3 of 71 Page 32

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.

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