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}

Option B)

Step-by-step 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}

b.

step-by-step explanation: