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Formula
Solve an expression involving the absolute value
Graph
$| 7 - x | > 0$
$| 7 - x | > 0$
Solution of inequality
$x < 7 \text{ or } x > 7$
$| 7-x | > 0$
$x < 7$ or $x > 7$
 Solve a solution to $x$
$| \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ x } | > 0$
 Organize the expression 
$| \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } | > 0$
$| \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } | > \color{#FF6800}{ 0 }$
 Divide the interval based on the value where the inside of the absolute value is 0 
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } > \color{#FF6800}{ 0 } \left ( \text{However (or only)} \color{#FF6800}{ x } < \color{#FF6800}{ 7 } \right ) \\ \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) > \color{#FF6800}{ 0 } \left ( \text{However (or only)} \color{#FF6800}{ x } \geq \color{#FF6800}{ 7 } \right )$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } > \color{#FF6800}{ 0 } \left ( \text{However (or only)} \color{#FF6800}{ x } < \color{#FF6800}{ 7 } \right ) \\ \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) > \color{#FF6800}{ 0 } \left ( \text{However (or only)} \color{#FF6800}{ x } \geq \color{#FF6800}{ 7 } \right )$
 Find the solution 
$\color{#FF6800}{ x } < \color{#FF6800}{ 7 } \left ( \text{However (or only)} \color{#FF6800}{ x } < \color{#FF6800}{ 7 } \right ) \\ \color{#FF6800}{ x } > \color{#FF6800}{ 7 } \left ( \text{However (or only)} \color{#FF6800}{ x } \geq \color{#FF6800}{ 7 } \right )$
$\color{#FF6800}{ x } < \color{#FF6800}{ 7 } \left ( \text{However (or only)} \color{#FF6800}{ x } < \color{#FF6800}{ 7 } \right ) \\ \color{#FF6800}{ x } > \color{#FF6800}{ 7 } \left ( \text{However (or only)} \color{#FF6800}{ x } \geq \color{#FF6800}{ 7 } \right )$
 Make sure if the value is within the interval 
$\color{#FF6800}{ x } < \color{#FF6800}{ 7 } \\ \color{#FF6800}{ x } > \color{#FF6800}{ 7 }$
$\color{#FF6800}{ x } < \color{#FF6800}{ 7 } \\ \color{#FF6800}{ x } > \color{#FF6800}{ 7 }$
 Find the union of sets of each interval 
$\color{#FF6800}{ x } < \color{#FF6800}{ 7 }$ or $\color{#FF6800}{ x } > \color{#FF6800}{ 7 }$
 그래프 보기 
Inequality
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