Given: 1) is (-2,4) compact by applying Heine-Borel Property? and 2) is [-2,4] compact by applying Heine-Borel property?
I've followed the proof of Heine-Borel property and i have attempted to apply the proof to answer the following and i am not quite sure how to prove? it...
i know that [a,b], every open cover has a finite subcover and a set of real numbers is compact if and only if it is closed and bounded.
So for 1) no and 2) yes?