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Formula
Solve the inequality
Answer
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Graph
$3 \left ( 2 - x \right ) + 4 \leq 1$
$3 \left ( 2 - x \right ) + 4 \leq 1$
Solution of inequality
$x \geq 3$
$3 \left( 2-x \right) +4 \leq 1$
$x \geq 3$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) + 4 \leq 1$
$ $ Multiply each term in parentheses by $ 3$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 4 \leq 1$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } - 3 x + 4 \leq 1$
$ $ Multiply $ 3 $ and $ 2$
$\color{#FF6800}{ 6 } - 3 x + 4 \leq 1$
$\color{#FF6800}{ 6 } - 3 x \color{#FF6800}{ + } \color{#FF6800}{ 4 } \leq 1$
$ $ Add $ 6 $ and $ 4$
$\color{#FF6800}{ 10 } - 3 x \leq 1$
$\color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq 1$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \leq 1$
$- 3 x \color{#FF6800}{ + } \color{#FF6800}{ 10 } \leq 1$
$ $ Move the constant to the right side and change the sign $ $
$- 3 x \leq 1 \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$- 3 x \leq \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$ $ Subtract $ 10 $ from $ 1$
$- 3 x \leq \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$3 x \geq 9$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \geq \color{#FF6800}{ 9 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } \geq \color{#FF6800}{ 3 }$
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