Show that the intersection of two closed sets is closed

[Pjennings]

Homework Statement

Show that the intersection of two closed sets is closed.

Homework Equations

The Attempt at a Solution

Let X and Y be closed sets i.e. X and Y are equal to their closure X_ and Y_. Then X$$\cap$$Y is equal to X_$$\cap$$Y_.

 

[Dick]

And how would that show X intersect Y is closed?