# LaTeX equation cases (left and right braces)

$x = \begin{cases} 1 \\ 2 \\ 3 \end{cases}$


$x = \begin{cases} 1 \\ 2 \\ 3 \end{cases}$

## Conditions

$y = \begin{cases} 3 & (x = 1) \\ 4 & (x < 4) \end{cases}$


$y = \begin{cases} 3 & (x = 1) \\ 4 & (x < 4) \end{cases}$

## Fraction

$x = \begin{cases} \frac{1}{2} \\ \frac{1}{3} \end{cases}$


$x = \begin{cases} \frac{1}{2} \\ \frac{1}{3} \end{cases}$

The command \frac writes a small fraction in the cases environment. The dfrac outputs the display style fraction as follows.

$x = \begin{cases} \dfrac{1}{2} \\ \dfrac{1}{3} \end{cases}$


$x = \begin{cases} \dfrac{1}{2} \\ \dfrac{1}{3} \end{cases}$

The aligned environment increases the spacing between vertical fractions.

x = \begin{cases} \begin{aligned} \dfrac{1}{2} \\ \dfrac{1}{3} \end{aligned} \end{cases}


x = \begin{cases} \begin{aligned} \dfrac{1}{2} \\ \dfrac{1}{3} \end{aligned} \end{cases}

x = \begin{cases} \begin{aligned} \dfrac{1}{2} \\[3em] \dfrac{1}{3} \end{aligned} \end{cases}


x = \begin{cases} \begin{aligned} \dfrac{1}{2} \\[3em] \dfrac{1}{3} \end{aligned} \end{cases}

## Right brace

$\begin{rcases} 4 & (x=2) \\ 9 & (x=3) \end{rcases} = y$


$\begin{rcases} 4 & (x=2) \\ 9 & (x=3) \end{rcases} = y$