Answer to Question #256085 in Discrete Mathematics for Ahmed Ali

Question

Q no.1) Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Draw the Venn diagrams for each of these combinations of the sets A, B, and C. a) A ∩ (B ∪ C) b) A ∩ B ∩ C

Answer 1

1)

a)

$$A\cap(B\cup C)=A=\{0, 2, 4, 6, 8, 10\}$$

b)

$$A\cap B\cap C=\{4,6\}$$