First slide

Relations XII

Question

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

Easy

A

symmetric
B

anti-symmetric
C

equivalence relation
D

None of these

Solution

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 $B \subset A$

$\Rightarrow A = B$

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