First slide

Operations on Sets

Question

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

Easy

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

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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