With reference to a universal set, the inclusion of a subset... | MATH - RELATIONS | SolveeIt | Solveeit

Today, August 18

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

None of these

Explanation

Solution

Since $\therefore$ relation is reflexive.

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

$\therefore$ relation is transitive.

But $\therefore$ Relation is not symmetric.