Q:

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}

Accepted Solution

A:
Answer:B) L ∪ (M ∩ N)={0,10,20,40,80,100}Step-by-step explanation:The given sets are; L = {0, 20, 40, 80, 100} M = {5, 10, 15, 20, 25} andN = {10, 20, 30, 40, 50} (M ∩ N) are elements in set M and set N(M ∩ N) ={10,20}The elements in L ∪ (M ∩ N)  are elements in L or M ∩ N or bothL ∪ (M ∩ N)={0,10,20,40,80,100}The correct choice is B.