Question

With reference to a universal set, the inclusion of a subset in another, is relation, which is

• A. Symmetric only
• B. Equivalence relation
• C. Reflexive only
• D. None of these

Answer 1

The correct option is D None of these

Since $A\subseteq A$.
$\therefore$ Relation ${}^{\prime }{\subseteq }^{\prime }$ is reflexive.
Since $A\subseteq B,B\subseteq C\Rightarrow A\subseteq C$
$\therefore$ Relation ${}^{\prime }{\subseteq }^{\prime }$ is transitive.
But If $A\subseteq B$, Doesn't imply $B\subseteq A$,
$\therefore$ Relation is not symmetric