I need to get {}. So what is wrong with the command $ \left\lbrace \left\rbrace $ ?
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David Carlisle
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Suman
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As mentioned above you have \left \right not applied correctly. A good answer to the application, you can find here. On CTAN, check: beginlatex – A beginner's guide to LaTeX. This guide, now known as “Formatting information”, is a well-respected introduction to the use of LaTeX.
You can manipulate the distance between brackets. With \left and \right command the clamp is adjusted dynamically. See code.

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\obeylines
$\{\}$
$\{\,\}$
$\{\:\}$
$\{\;\}$
$\{\quad\}$
$\{\qquad\}$\\
$\{A + B = \frac{1}{2}\left[ \frac{\frac{1}{2}}{\frac{1}{2}} \right]\}$\\
$A+B=\left\{\frac{1}{\frac{a b}{c}}\right\}$\\
$A+B=\left\{\frac{\frac{A+B}{\sin (x)}+1}{A+\frac{C+D}{x^{1/y}}}\right\}$
\end{document}
\leftand no\right– David Carlisle Feb 07 '14 at 16:54$\{\}$? – Nico Feb 07 '14 at 16:56