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Solve the inequality
Answer
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$3 x - 5 \left ( x - 1 \right ) < - 1$
$3 x - 5 \left ( x - 1 \right ) < - 1$
Solution of inequality
$x > 3$
$x > 3$
$ $ Solve a solution to $ x$
$3 x \color{#FF6800}{ - } \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) < - 1$
$ $ Multiply each term in parentheses by $ - 5$
$3 x \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } + \color{#FF6800}{ 5 } < - 1$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } + 5 < - 1$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } + 5 < - 1$
$- 2 x \color{#FF6800}{ + } \color{#FF6800}{ 5 } < - 1$
$ $ Move the constant to the right side and change the sign $ $
$- 2 x < - 1 \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$- 2 x < \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$ $ Find the sum of the negative numbers $ $
$- 2 x < \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$2 x > 6$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } > \color{#FF6800}{ 6 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } > \color{#FF6800}{ 3 }$
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