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 ' $\subseteq$ ' is relfexive

Since A $\subseteq$ B , B $\subseteq$ C $\Rightarrow$ A $\subseteq$ C

$\therefore$ Relation ' $\subseteq$ ' is transitive.

But A ' $\subseteq$ ' B , $\Rightarrow$ B $\subseteq$ A . $\therefore$ relation is not symmetric.