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Formula
Solve the inequality
Answer
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Graph
$3 \left ( 4 - x \right ) + 6 x \leq 9$
$3 \left ( 4 - x \right ) + 6 x \leq 9$
Solution of inequality
$x \leq - 1$
$3 \left( 4-x \right) +6x \leq 9$
$x \leq - 1$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) + 6 x \leq 9$
$ $ Multiply each term in parentheses by $ 3$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 6 x \leq 9$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } - 3 x + 6 x \leq 9$
$ $ Multiply $ 3 $ and $ 4$
$\color{#FF6800}{ 12 } - 3 x + 6 x \leq 9$
$12 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \leq 9$
$ $ Calculate between similar terms $ $
$12 + \color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq 9$
$\color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq 9$
$ $ Organize the expression $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \leq 9$
$3 x \color{#FF6800}{ + } \color{#FF6800}{ 12 } \leq 9$
$ $ Move the constant to the right side and change the sign $ $
$3 x \leq 9 \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$3 x \leq \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$ $ Subtract $ 12 $ from $ 9$
$3 x \leq \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
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