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Formula
Solve the inequality
Graph
$- 2 x + 3 > x - 6$
$- 2 x + 3 > x - 6$
Solution of inequality
$x < 3$
$-2x+3 > x-6$
$x < 3$
 Solve a solution to $x$
$- 2 x + 3 > \color{#FF6800}{ x } - 6$
 Move the variable to the left-hand side and change the symbol 
$- 2 x + 3 \color{#FF6800}{ - } \color{#FF6800}{ x } > - 6$
$- 2 x \color{#FF6800}{ + } \color{#FF6800}{ 3 } - x > - 6$
 Move the constant to the right side and change the sign 
$- 2 x - x > - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } > - 6 - 3$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } > - 6 - 3$
$- 3 x > \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
 Find the sum of the negative numbers 
$- 3 x > \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } > \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
 Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction 
$3 x < 9$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } < \color{#FF6800}{ 9 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } < \color{#FF6800}{ 3 }$
 그래프 보기 
Inequality
Solution search results