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Solve the inequality
Answer
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$3 x - 4 \geq x - 6$
$3 x - 4 \geq x - 6$
Solution of inequality
$x \geq - 1$
$x \geq - 1$
$ $ Solve a solution to $ x$
$3 x - 4 \geq \color{#FF6800}{ x } - 6$
$ $ Move the variable to the left-hand side and change the symbol $ $
$3 x - 4 \color{#FF6800}{ - } \color{#FF6800}{ x } \geq - 6$
$3 x \color{#FF6800}{ - } \color{#FF6800}{ 4 } - x \geq - 6$
$ $ Move the constant to the right side and change the sign $ $
$3 x - x \geq - 6 \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } \geq - 6 + 4$
$ $ Organize the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \geq - 6 + 4$
$2 x \geq \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
$ $ Add $ - 6 $ and $ 4$
$2 x \geq \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \geq \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } \geq \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
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