1.Relation and Function
easy

The relation "is subset of" on the power set $P(A)$ of a set $A$ is

A

Symmetric

B

Anti-symmetric

C

Equivalency relation

D

None of these

Solution

(b) The relation is not symmetric, because $A \subset B$ does not imply that $B \subset A$. But it is anti-symmetric because $A \subset B$ and $B \subset A$ ==> $A=B.$

Standard 12
Mathematics

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