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Solve the inequality
Answer
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Graph
$7 x + 10 > 10 x - 5$
$7 x + 10 > 10 x - 5$
Solution of inequality
$x < 5$
$x < 5$
$ $ Solve a solution to $ x$
$7 x + 10 > \color{#FF6800}{ 10 } \color{#FF6800}{ x } - 5$
$ $ Move the variable to the left-hand side and change the symbol $ $
$7 x + 10 \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ x } > - 5$
$7 x \color{#FF6800}{ + } \color{#FF6800}{ 10 } - 10 x > - 5$
$ $ Move the constant to the right side and change the sign $ $
$7 x - 10 x > - 5 \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$\color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ x } > - 5 - 10$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } > - 5 - 10$
$- 3 x > \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$ $ Find the sum of the negative numbers $ $
$- 3 x > \color{#FF6800}{ - } \color{#FF6800}{ 15 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } > \color{#FF6800}{ - } \color{#FF6800}{ 15 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$3 x < 15$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } < \color{#FF6800}{ 15 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } < \color{#FF6800}{ 5 }$
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