Question

U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set) A U (B U C)

Answer 1

U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set)

A U (B U C)​

step 1

Find out B U C

we have

B = {1,4,7,8}, C = {3,6,8}

so

B U C={1,4,7,8} U {3,6,8}={1,3,4,6,7,8}

step 2

Find out A U (B U C)

A U (B U C)={2,4,5} U {1,3,4,6,7,8}={1,2,3,4,5,6,7,8}=set U

therefore

the answer is

{1,2,3,4,5,6,7,8}