Answer to Question #323610 in Discrete Mathematics for tee

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

$(A∩C)^ c =(\{90,92,94,96,98,100\}∩\{90,94,98\})^ c =\{90,94,98\} ^ c =\{91,92,93,95,96,97,99,100\}$

$B∪C=(\{91,93,95,97,99\}∪\{90,94,98\})^c=\{90,91,93,94,95,97,98,99\}^c=\{92,96,100\}$