The basic outline of the equation below is correct but how can I make the text appear correctly right now it appears scrunched up?
\documentclass{report}
\begin{document}
\begin{align*}
\left.
k_S
= \left\lbrace
\begin{array}{l}
k_{LW} \text{if} k_{ICOMP}<k_{LW} \\
k_{ICOMP} \text {otherwise}
\end{array}
\right.
\end{align*}
\end{document}


amsmathpackage, as it is needed for your use ofalign*. Moreover, you don't needalignfor this equation, since anequation*environment would do just as well. Finally, your construction is also made simple using thecasesenvironment (also supplied byamsmath). – Werner Sep 24 '14 at 19:30amsmathpackage as part of your preamble (\usepackage{amsmath}), which probably will fix what you call "terrible". – Werner Sep 24 '14 at 19:43