If each X Y and Z is a set then F X Y Z is a set each elem

If each X, Y, and Z is a set, then F = { X, Y, Z} is a set, each element of which is a set. We say is a collection, each element of which is a set. Of course, the number of sets in such a collection is not restricted to 3 as in this simple case.

Solution

Given that X, Y, Z are sets and there is another set defined F as {X,Y,Z}

We know that Union of set F is symbolized as UF. UF is simply the union of all the set in F. Therefore, if X and Y are the only sets in F, then this union can be written as UF = XUY