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Formula
Solve the inequality
Graph
$- 3 x - 4 < 8 + 3 x$
$- 3 x - 4 < 8 + 3 x$
Solution of inequality
$x > - 2$
$-3x-4 < 8+3x$
$x > - 2$
 Solve a solution to $x$
$- 3 x - 4 < \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x }$
 Organize the expression 
$- 3 x - 4 < \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$- 3 x - 4 < \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 8$
 Move the variable to the left-hand side and change the symbol 
$- 3 x - 4 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } < 8$
$- 3 x \color{#FF6800}{ - } \color{#FF6800}{ 4 } - 3 x < 8$
 Move the constant to the right side and change the sign 
$- 3 x - 3 x < 8 \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } < 8 + 4$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } < 8 + 4$
$- 6 x < \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
 Add $8$ and $4$
$- 6 x < \color{#FF6800}{ 12 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } < \color{#FF6800}{ 12 }$
 Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction 
$6 x > - 12$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } > \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } > \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
 그래프 보기 
Inequality
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