question_answer

Let A and 5 be two non-empty subsets of a set X such that A is not a subset of B. Then

A) A is a subset of complement of B

B) B is a subset of .4

C) A and -5 are disjoint sets

D) A and complement of B are non-disjoint sets

Correct Answer: D

Solution :

[d] Given that \[A\not\subset B.\]then it is not necessary that B is subset of A as shown in figure. Also, it is not necessary that A and B are disjoint, obviously, A and complement of B are not disjoint.