Question

L = {0, 20, 40, 80, 100} M = {5, 10, 15, 20, 25} N = {10, 20, 30, 40, 50}Sets L, M, and N are shown above. Which of the following sets represents L (M N) (the union of L with the intersection of sets M and N)?

Answer 1

we have the sets

L = {0, 20, 40, 80, 100} M = {5, 10, 15, 20, 25} N = {10, 20, 30, 40, 50}

step 1

Find out intersection sets M and N

M ∩ N

so

M ∩ N={10,20}

step 2

Find out L U (M ∩ N)

L U (M ∩ N)={0, 20, 40, 80, 100} U {10,20}={0, 10, 20, 40, 80, 100}

therefore

the answer is option B