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Solve the inequality   Graph
$- 4 x - 6 > - 5$
$- 4 x - 6 > - 5$
Solution of inequality
$x < - \dfrac { 1 } { 4 }$
$-4x-6 > -5$
$x < - \dfrac { 1 } { 4 }$
 Solve a solution to $x$
$- 4 x \color{#FF6800}{ - } \color{#FF6800}{ 6 } > - 5$
 Move the constant to the right side and change the sign 
$- 4 x > - 5 \color{#FF6800}{ + } \color{#FF6800}{ 6 }$
$- 4 x > \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 6 }$
 Add $- 5$ and $6$
$- 4 x > \color{#FF6800}{ 1 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } > \color{#FF6800}{ 1 }$
 Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction 
$4 x < - 1$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
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Inequality
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