- #1

- 84

- 1

## Homework Statement

Let {E

_{i}: 1≤i≤n} be a finite family of closed sets. Then ∪

_{i=1}

^{n}E

_{i}is closed.

## Homework Equations

Noting that (E

_{i})

^{c}is open

## The Attempt at a Solution

Honestly, I have no idea where to start.

I tried to demonstrate that E

_{ai}≥E

_{i}if a is a constant greater than zero. Then showing that E

_{ai}is closed which means that E

_{i}is closed.