Answer to Question #223604 in Discrete Mathematics for tuhin

Question

Draw the Venn diagrams for each of these combinations

of the sets A, B, and C.

a) A ∩ (B − C) b) (A ∩ B) ∪ (A ∩ C)

c) (A ∩ B) ∪ (A ∩ C)

Answer 1

a)

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

b)

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

c)

$$(A\cap\overline{B})\cup(A\cap\overline{C})$$