The answers to exercises marked [BB] can be found in the Back of the Book.Suppose A, 5, an...

The answers to exercises marked [BB] can be found in the Back of the Book.

Suppose A, 5, and C are sets. For each of the following statements, either prove it is true or give a counterexample to show that it is false.

(a) [BB] A ∈ B, B ∈C → A ∈C

(b) A⊆B, B→A⊆C

(c)

(d) [BB] A∈B, B⊆C→A∈C

(e) A ∈B, B⊆C→ A ⊆ C

(f) A ⊆B, B∈C→ A ∈ C

(g) A⊆.B, B∈C→A⊆C