Question

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

• A. symmetric
• B. anti-symmetric
• C. equivalence reaition
• D. none

Answer 1

Answer: (B)

The relation is not symmetric, because $A\subset B$ does not imply that $B\subset A$ . But it is antisymmetric because
$A\subset B$ and $B\subset A$
$\Rightarrow A=B$