Question

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}

Answer 1

L ∪ (M ∩ N) = {0, 10, 20, 40, 80, 100}

Explanation:

L ∪ (M ∩ N) means "take what's common of set M and set N" and then "add it to all the elements of set L".

So, what are the common elements of set M and set N?

They are 10 & 20. So,

M ∩ N = {10,20}

Now, we add it to all the elements of set L. Note that we don't need to count 20 twice.

Thus L ∪ (M ∩ N) = {0, 10, 20, 40, 80, 100}