Let A and B be sets. Show that

a) (A ∩ B) ⊆ A.

b) A ⊆ (A ∪ B).

c) A − B ⊆ A.

d) A ∩ (B − A) = ∅.

e) A ∪ (B − A) = A ∪ B.

Let A and B be sets. Show that

a) (A ∩ B) ⊆ A.

b) A ⊆ (A ∪ B).

c) A − B ⊆ A.

d) A ∩ (B − A) = ∅.

e) A ∪ (B − A) = A ∪ B.