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Formula
Solve the inequality
Graph
$7 x + 10 > 10 x - 5$
$7 x + 10 > 10 x - 5$
Solution of inequality
$x < 5$
$7x+10 > 10x-5$
$x < 5$
 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 
$\color{#FF6800}{ x } < \color{#FF6800}{ 5 }$
 그래프 보기 
Inequality
Solution search results