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Let A = {1,2,3,4,5} and X = P(A) be its powerset. Define a binary relation on...

Let A = {1,2,3,4,5} and X = P(A) be its powerset. Define a binary relation on X by for any sets S, T ∈ X, S∼T if and only if S ⊆ T.

(a) Is this relation reflexive?

(b) Is this relation symmetric or antisymmetric?

(c) Is this relation transitive?

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