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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}

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carlosego

Answer:

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}

Answer:

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

Step-by-step 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.

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