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}

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

Step-by-step 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}