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Formula
Solve the inequality
Answer
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Graph
$- \left ( x - 3 \right ) \leq 3 \left ( x - 1 \right )$
$- \left ( x - 3 \right ) \leq 3 \left ( x - 1 \right )$
Solution of inequality
$x \geq \dfrac { 3 } { 2 }$
$- \left( x-3 \right) \leq 3 \left( x-1 \right)$
$x \geq \dfrac { 3 } { 2 }$
$ $ Solve a solution to $ x$
$- \left ( x - 3 \right ) \leq \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Multiply each term in parentheses by $ 3$
$- \left ( x - 3 \right ) \leq \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \leq 3 x - 3$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \leq 3 x - 3$
$- x + 3 \leq \color{#FF6800}{ 3 } \color{#FF6800}{ x } - \color{#FF6800}{ 3 }$
$ $ Move the variable to the left-hand side and change the symbol $ $
$- x + 3 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq - 3$
$- x \color{#FF6800}{ + } \color{#FF6800}{ 3 } - 3 x \leq - 3$
$ $ Move the constant to the right side and change the sign $ $
$- x - 3 x \leq - 3 \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \leq - 3 - 3$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \leq - 3 - 3$
$- 4 x \leq \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Find the sum of the negative numbers $ $
$- 4 x \leq \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \leq \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$4 x \geq 6$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \geq \color{#FF6800}{ 6 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } \geq \color{#FF6800}{ \dfrac { 3 } { 2 } }$
$ $ 그래프 보기 $ $
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search-thumbnail-What is the inverse of $g\left(x\right)=\sqrt{x-1} $ $Og\left(x\right)=\sqrt{x+1} $ $+1$ $g^{'}\left(x\right)=5-$ $y_{9}$ $g\sqrt{ef\left(x\left(nght\right)} =\left(f_{tac\left(x+1\right)0sq\pi \left(x\right)}$ $Og^{'}\left(x\right)=x^{2}+1$ $○g\left(x\right)=x^{2}-1$ « Previous Ne
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search-thumbnail-What is the inverse of $g\left(x\right)=\sqrt{x-1} $ $Og\left(x\right)=\sqrt{x+1} $ $+1$ $g^{'}\left(x\right)=5-$ $y_{9}$ $g\sqrt{ef\left(x\left(nght\right)} =\left(f_{tac\left(x+1\right)0sq\pi \left(x\right)}$ $Og^{'}\left(x\right)=x^{2}+1$ $○g\left(x\right)=x^{2}-1$ « Previous Ne
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