- #1
shanepitts
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Homework Statement
Let {Ei: 1≤i≤n} be a finite family of closed sets. Then ∪i=1n Ei is closed.
Homework Equations
Noting that (Ei)c is open
The Attempt at a Solution
Honestly, I have no idea where to start.
I tried to demonstrate that Eai≥Ei if a is a constant greater than zero. Then showing that Eai is closed which means that Ei is closed.