Question

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

Answer 1

P U ​(Q∩​R)={3, 5, 6, 10, 13, 15}

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}