Sets L, M, and N are shown. Which of the sets represents LU (M n N) (the union of L with the intersection of setsMand N)?L = {0, 20, 40, 80, 100)M = {5, 10, 15, 20, 25}N = {10, 20, 30, 40, 50)[0, 5, 10, 15, 20, 25, 30, 40, 50, 80, 100){0, 10, 20, 40, 80, 100)[20,40]D)[20]
Question
Answer:
The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100} ⇒ 2nd answerStep-by-step explanation:In the sets:Union (∪) of two sets means all the elements in the two sets without repeating the same elementsIntersection (∩) of two sets means the common elements in the two sets∵ Set L = {0 , 20 , 40 , 80 , 100}∵ Set M = {5 , 10 , 15 , 20 , 25}∵ Set N = {10 , 20 , 30 , 40 , 50}We need to find L ∪ (M ∩ N)At first find (M ∩ N)∵ M ∩ N means find the common elements of M and N∵ 10 and 20 are common elements in M and N∴ M ∩ N = {10 , 20}Now find the union of L and {10 , 20}∵ L ∪ {10 , 20} means all elements in L and {10 , 20} without repeating the same elements∴ L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}∴ L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}Learn more:You can learn more about the set in brainly.com/question/10710410#LearnwithBrainly
solved
general
5 months ago
4370