The answers to exercises marked [BB] can be found in the Back of the Book.
Let S be a set that contains at least two elements a and b. Let A be the power set of S. Determine which of (he properties-reflexivity. symmetry, antisymmetry, transitivity-each of the following binary relations R on A possesses. Give a proof or counterexample as appropriate.
(a) IBB] (x, y) ∈ if and only if x ⊆ y.
(b) (x, y) ⊆ if and only if .
(c) (x, y) ∈ if and only if X ∩ Y = Ø.
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