Question

The relation "is subset of" on the power set P(1) of a set A is

• A. Symmetric
• B. Anti-symmetric
• C. Equivalency relation
• D. None of these

Answer 1

Answer: (B)

Anti-symmetric

Answer 2

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.