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6. Let S be a finite set and let P(S) denote the set of all subsets...

6. Let S be a finite set and let P(S) denote the set of all subsets of S. Define a relation on P(S) by declaring that two subsets A and B are related if A ⊆ B.

(a) Is this relation reflexive? Explain your reasoning.

(b) Is this relation symmetric? Explain your reasoning.

(c) Is this relation transitive? Explain your reasoning.

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