The universal set

Question

The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {2, 3, 4, 5, 6} and B = {5, 6, 7, 8, 9}, find the following. (Enter your answers as a comma-separated list.)

Answer 1

U = 0 through 9

A = 2 through 6

B =5 through 9

AUB=2 through 9= elements in either A or in B

= {2,3,4,5,6,7,8,9}

A intersection B=5 through 6 = elements common to both A and B

= {5,6}

A' = complement of A = all elements in U not in A

={0,1,7,8,9}

B' = complement of B = all elements in U not in B

= {0,1,2,3,4}

(AUB)' = complement of AUB = all element in U not in either A or B

= {0,1}