Sets Relations And Functions Question 54
Question: With reference to a universal set, the inclusion of a subset in another, is relation, which is
[Karnataka CET 1995]
Options:
A) Symmetric only
B) Equivalence relation
C) Reflexive only
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- Since $ A\subseteq A $ .
$ \therefore $ Relation $ ‘\subseteq ’ $ is reflexive. Since $ A\subseteq B, $ $ B\subseteq C\Rightarrow A\subseteq C $
$ \therefore $ Relation $ ‘\subseteq ’ $ is transitive. But $ A\subseteq B, $
Þ $ B\subseteq A $ ,
$ \therefore $ Relation is not symmetric.
BETA
