How to show that $[-2,2)$ is not compact? 
How to show that $[-2,2)$ is not compact?

I can show that $(-2,2)$ is not compact since $K=\bigcup_{n\in\mathbb{N}}(-2,2-\frac{1}{n})$ has no finite subcover.
However I'm not sure how I can write a union of open sets which will include $-2$?

Using the relative topology of the subset [$-2,2$) where the open sets are [$-2$,b) so:
$\cup^{\infty}_{i=1}A_i$ where $A_i$ are the open sets $A_i$ = [$-2$,$2-\frac{1}{i}$) and with this covering it is impossible to obtain a finite sub cover.
