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Formula
Solve a simultaneous inequality
Graph
$y = \sqrt{ 3 }$
$y = x$
$y = \sqrt{ 20 }$
$\begin{cases} \sqrt{ 3 } < x \\ x < \sqrt{ 20 } \end{cases}$
$y$-intercept
$\left ( 0 , \sqrt{ 3 } \right )$
$x$-intercept
$\left ( 0 , 0 \right )$
$y$-intercept
$\left ( 0 , 0 \right )$
$y$-intercept
$\left ( 0 , 2 \sqrt{ 5 } \right )$
$\sqrt{ 3 } < x < \sqrt{ 20 }$
$\sqrt{ 3 } < x < 2 \sqrt{ 5 }$
Solve a simultaneous inequality
$\begin{cases} \sqrt{ \color{#FF6800}{ 3 } } < \color{#FF6800}{ x } \\ x < \sqrt{ 20 } \end{cases}$
 Solve a solution to $x$
$\begin{cases} \color{#FF6800}{ x } > \sqrt{ \color{#FF6800}{ 3 } } \\ x < \sqrt{ 20 } \end{cases}$
$\begin{cases} x > \sqrt{ 3 } \\ \color{#FF6800}{ x } < \sqrt{ \color{#FF6800}{ 20 } } \end{cases}$
 Solve a solution to $x$
$\begin{cases} x > \sqrt{ 3 } \\ \color{#FF6800}{ x } < \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \end{cases}$
$\begin{cases} \color{#FF6800}{ x } > \sqrt{ \color{#FF6800}{ 3 } } \\ \color{#FF6800}{ x } < \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \end{cases}$
 Find out the interval of $x$ that satisfies all expressions 
$\sqrt{ \color{#FF6800}{ 3 } } < \color{#FF6800}{ x } < \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } }$
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Simultaneous inequality
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