Answer to Question #335558 in Discrete Mathematics for Gee

Question

1.4 If Universal Set U = {90, 91 , 92 , 93 , 94, 95 , 96 , 97 , 98, 99 , 100} (10)

 A = {90, 92, 94, 96, 98, 100}, 

 B= {91, 93, 95, 97, 99}, 

 C = {90, 94, 98}

 1.4.1 What is (A ∩ C)c 

 1.4.2 What is(B ∪ C)c

Answer 1

1.4.1

$$A ∩ C =\{90, 92, 94, 96, 98, 100\}\cap \{90, 94, 98\}$$

$$=\{90, 94, 98\}$$

$$(A ∩ C )^c=\{91 , 92 , 93 , 95 , 96 , 97, 99 , 100\}$$

1.4.2

$$B ∪ C= \{91, 93, 95, 97, 99\}\cup \{90, 94, 98\}$$

$$=\{90,91, 93,94,95, 97, 98,99\}$$

$$(B\cup C)^c=\{92,96,100\}$$