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Solve a simultaneous inequality
Graph
$y = 5 x$
$y = 2 x - 15$
$y = x - 3$
$\begin{cases} 5 x \leq 2 x - 15 \\ 2 x - 15 < x - 3 \end{cases}$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x$Intercept
$\left ( \dfrac { 15 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 15 \right )$
$x$Intercept
$\left ( 3 , 0 \right )$
$y$Intercept
$\left ( 0 , - 3 \right )$
$\begin{cases} 5x \leq 2x-15 \\2x-15 < x-3 \end{cases}$
$x \leq - 5$
Solve a simultaneous inequality
$\begin{cases} \color{#FF6800}{ 5 } \color{#FF6800}{ x } \leq \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \\ 2 x - 15 < x - 3 \end{cases}$
 Solve a solution to $x$
$\begin{cases} \color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ 2 x - 15 < x - 3 \end{cases}$
$\begin{cases} x \leq - 5 \\ \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 15 } < \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \end{cases}$
 Solve a solution to $x$
$\begin{cases} x \leq - 5 \\ \color{#FF6800}{ x } < \color{#FF6800}{ 12 } \end{cases}$
$\begin{cases} \color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ \color{#FF6800}{ x } < \color{#FF6800}{ 12 } \end{cases}$
 Find out the interval of $x$ that satisfies all expressions 
$\color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
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