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Formula
Solve the inequality
Answer
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Graph
$- \dfrac { 1 } { 2 } x + 3 \geq 1$
$- \dfrac { 1 } { 2 } x + 3 \geq 1$
Solution of inequality
$x \leq 4$
$- \dfrac{ 1 }{ 2 } x+3 \geq 1$
$x \leq 4$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } + 3 \geq 1$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x } { 2 } } + 3 \geq 1$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \geq \color{#FF6800}{ 1 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \geq \color{#FF6800}{ 2 }$
$- x \color{#FF6800}{ + } \color{#FF6800}{ 6 } \geq 2$
$ $ Move the constant to the right side and change the sign $ $
$- x \geq 2 \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$- x \geq \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Subtract $ 6 $ from $ 2$
$- x \geq \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \geq \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$\color{#FF6800}{ x } \leq \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$
$x \leq \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 4 \right )$
$ $ Simplify Minus $ $
$x \leq 4$
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