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

Equivalency 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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