Answer to Question #163970 in Discrete Mathematics for Nabeel

Question

Let A, B, and C are not empty sets, then using Venn diagram represent the following:

(i) (A ∩ B) ∩ Cc

(ii) Ac ∪ (B ∪ C)

(iii)(A – B) ∩ C

(iv) (A ∩ Bc) ∪ Cc

Answer 1

The Venn diagram area as follows:-

(i) $(A\cap B)\cap C$

(ii) $A\cup (B\cup C)$

(iii) $(A-B)\cap C$

(iv) $(A\cap B)\cup C$