# how to write large [ include 2 { like this picture

Please teach me. how to write large [ include 2 { like this picture.

That's my code

\left[
\left\lbrace
\begin{array}{rl}
0<\dfrac{2y}{\sqrt{3}}<1\\
\sqrt{4y^2-1}>\dfrac{2y}{\sqrt{3}}
\end{array} \right.\\
\left\lbrace
\begin{array}{rl}
\dfrac{2y}{\sqrt{3}}>1\\
\sqrt{4y^2-1}<\dfrac{2y}{\sqrt{3}}
\end{array} \right. \right.
\Rightarrow


• Could you please clarify the left-most delimiter? Is it desired to be a bracket [ (as in the question title) or a \ceil (as in the included figure)? Furthermore, do you wish it thick as shown, or not so thick? – Steven B. Segletes Oct 31 '15 at 0:49

Maybe something like this, where I replicate the cases environment with a different delimiter.

\documentclass{article}
\usepackage{mathtools}

\makeatletter
\newenvironment{lceilcases}
{\let\@ifnextchar\new@ifnextchar
\left\lceil
\def\arraystretch{1.2}
{\endarray\right.}
\makeatother

\begin{document}

$\begin{lceilcases} \begin{dcases} 0 < \frac{2y}{\sqrt{3}} < 1\\ \sqrt{4y^2-1} > \frac{2y}{\sqrt{3}} \end{dcases} \\ \\ \begin{dcases} \frac{2y}{\sqrt{3}} > 1\\ \sqrt{4y^2-1} < \frac{2y}{\sqrt{3}} \end{dcases} \end{lceilcases}$

\end{document}


A simple solution woudl be to use the amsmath aligned-environment:

\documentclass{scrartcl}

\usepackage{amsmath}

\begin{document}
\left[ \begin{aligned} \begin{cases} \dfrac{2y}{\sqrt{3}} > 1\\ \sqrt{4y^2 - 1} < \dfrac{2y}{\sqrt{3}} \end{cases} \\ \begin{cases} 0 < \dfrac{2y}{\sqrt{3}} < 1\\ \sqrt{4y^2 - 1} > \dfrac{2y}{\sqrt{3}} \end{cases} \end{aligned} \right.
\end{document}


If the left delimiter is supposed to be a \lceil rather than a [, a simple substitution may be made in the MWE, from \left[ to \left\lceil.

\documentclass{article}
\usepackage{amsmath,stackengine}
\stackMath
\begin{document}
\def\stackalignment{l} \left[% \stackanchor{ \begin{cases} 0 < \dfrac{2y}{\sqrt{3}} < 1\\ \sqrt{4y^2 - 1} > \dfrac{2y}{\sqrt{3}} \end{cases} }{ \begin{cases} \dfrac{2y}{\sqrt{3}} > 1\\ \sqrt{4y^2 - 1} < \dfrac{2y}{\sqrt{3}} \end{cases} }\right.\Rightarrow
\end{document}