Question

Let the universe be the set U = {1, 2, 3,..., 10}. Let A = {1, 4, 7, 10}, B = {1, 2, 3, 4, 5}, and C = {2, 4, 6, 8}. List the elements of each set.(a) \overline{A} \cap C =\\
|\overline{A} \cap C| =\\
(b) B - \overline{C} = \\
|B - \overline{C}| \\
(c) B \cup A = \\
|B \cup A| =\\
(d) \overline{B} \cap (A - C) = \\
|\overline{B} \cap (A - C)| =\\
(e) (A - B) \cap (B - C) =\\
|(A - B) \cap (B - C)|

Answer 1

Answer:

Step-by-step explanation:

$\overline A\cap C= {{2,6,8}}\\b. B-\overline {C}=B \cap {C}={{2,4}}\\c. B \cup A={1,2,3,4,5,7,10}\\d. \overline {B}\cap (A-C)={6,7,8,9,10}\cap {1,7,10}={7,10}\\e. (A-B)\cap (B-C)={7,10} \cap {1,3,5}=\phi$