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 $-2$?

Compact implies sequentially compact.  Consider $x_n=2-1/n$.  The limit, $2$, is not in the set.
