For P = {3, 5, 10, 15 }, Q = {1,6, 13 }, and R = {4, 6, 10, 13 }, find P U (Q∩ R).

P U (Q∩ R) = {3, 5, 6, 10, 13, 15}

Step-by-step explanation:

The first step that we have to do is find (Q∩ R) then, we ned to find the elements in common between Q and R, as we can see we have the element 6 and the element 13, then:

(Q∩ R) = {6, 13}

Now we just need to do the union between P and (Q∩ R), that is just put all the elements of P and (Q∩ R) in one set, then:

P U (Q∩ R) = {3, 5, 6, 10, 13, 15}