Question

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

Answer 1

B) {0, 10, 20, 40, 80, 100}

Explanation:

The INTERSECTION of two sets is the set of elements which are in both sets.

The UNION of two sets is the set of elements which are in either set.

Answer 2

Option B)

Explanation:

The intersection of two sets M and N consists of all the elements that are in both M and N.

So if M = {5, 10, 15, 20, 25} and N ={10, 20, 30, 40, 50}, then M ∩ N = {10, 20}

Then, the union of two sets L and C is to add to L all the elements that are in C

Where: C = M ∩ N

So, if L = {0, 20, 40, 80, 100} and M ∩ N = {10, 20}, then:

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

Finally the correct option is B) {0, 10, 20, 40, 80, 100}