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Formula
Solve the inequality
Answer
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Graph
$5 - 3 \left ( x + 1 \right ) > 8$
$5 - 3 \left ( x + 1 \right ) > 8$
Solution of inequality
$x < - 2$
$5-3 \left( x+1 \right) > 8$
$x < - 2$
$ $ Solve a solution to $ x$
$5 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) > 8$
$ $ Multiply each term in parentheses by $ - 3$
$5 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } > 8$
$\color{#FF6800}{ 5 } - 3 x \color{#FF6800}{ - } \color{#FF6800}{ 3 } > 8$
$ $ Subtract $ 3 $ from $ 5$
$\color{#FF6800}{ 2 } - 3 x > 8$
$\color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } > 8$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } > 8$
$- 3 x \color{#FF6800}{ + } \color{#FF6800}{ 2 } > 8$
$ $ Move the constant to the right side and change the sign $ $
$- 3 x > 8 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$- 3 x > \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Subtract $ 2 $ from $ 8$
$- 3 x > \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } > \color{#FF6800}{ 6 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$3 x < - 6$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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