Q.

Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then

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a

A is a subset of complement of B

b

B is a subset of A

c

A and B are disjoint

d

A and the complement of B are non-disjoint

answer is D.

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Detailed Solution

Given that A⊄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.
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Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then