Mathematics Help

Question

Given the following.

U = {1,2,3,4,5,6,7,8,9,10,11}

A = {3,4,6,7,11}

B = {4,5,6,8}. 

Find (A U B)' U B.

Answer 1

(AUB)' U B =

=[{3,4,6,7,11)U{4,5,6,8}]' U B

={3,4,5,6,7,8,11}' UB

={1,2,9,10} U B

={1,2,9,10} U {4,5,6,8}

= {1,2,4,5,6,8,9, 10}