Question

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

• 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 $B^{\prime}$

Answer 1

Answer: (B)

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.