1. Math
  2. Advanced Math
  3. let a b c be sets decide whether each of...

Question: let a b c be sets decide whether each of...

Question details

Let A, B, C be sets. Decide whether each of the following statements are true or false. If true, give a proof; if false, give a counterexample.

(a) A ∪ (B ∩ C) = (A ∪ B) ∩ C.

(b) A ∩ B ⊆ A \ B.

(c) A \ (B \ C) ⊆ (A \ B) ∪ C.

(d) (A \ B) ∪ (A ∩ C) ⊆ (A \ B) \ C

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution