Question

Sets L, M, and N are shown. Which of the sets represents LU (M n N) (the union of L with the intersection of sets
Mand 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]

Answer 1

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100} ⇒ 2nd answer

Step-by-step explanation:

In the sets:

• Union (∪) of two sets means all the elements in the two sets without repeating the same elements
• Intersection (∩) 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}

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You can learn more about the set in brainly.com/question/10710410

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