Q. If $A$ and $B$ are two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$. Then,

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A

$B$ is a subset of $A$

B

$A$ and $B^{\prime}$ are non-disjoint sets

C

$A$ and $B$ are disjoint sets

D

$A$ is a subset of $B^{\prime}$

Solution:

Since, $A \not \subset B$ therefore it is not necessary that $B$ is subset of $A$.

And also, it is not necessary that $A$ and $B$ are disjoint. Obviously, $A$ and $B^{\prime}$ are not disjoint.

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