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Difference of Two Sets

The relation ...

Question

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

symmetric

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anti-symmetric

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equivalence relation

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reflexive

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Solution

The correct option is B anti-symmetric
The relation is not symmetric, because $A \subset B$ does not simply that $B \subset A$ . It is anti-symmetric because $A \subset B$ and $B \subset A$
$\Rightarrow A = B$

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