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# L = {0, 20, 40, 80, 100}

M = {5, 10, 15, 20, 25}

N = {10, 20, 30, 40, 50}

Sets L, M, and N are shown above. Which of the following sets represents L (M N) (the union of L with the intersection of sets M and N)?

Question:

M = {5, 10, 15, 20, 25}

N = {10, 20, 30, 40, 50}

Sets L, M, and N are shown above. Which of the following sets represents L (M N) (the union of L with the intersection of sets M and N)?

A
{0, 10, 20, 40, 80, 100}

Explaination

The intersection of sets M and N is all the numbers that appear in both of the sets, so $9415_w56_h13.png$ = {10, 20}. The union of this and L is all the numbers that are in this set or in set L, therefore $7450_w101_h19.png$= {0, 10, 20, 40, 80, 100}.

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