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Formula
Solve the inequality
Answer
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Graph
$3 - x < 2$
$3 - x < 2$
Solution of inequality
$x > 1$
$3-x < 2$
$x > 1$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ x } < 2$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } < 2$
$- x \color{#FF6800}{ + } \color{#FF6800}{ 3 } < 2$
$ $ Move the constant to the right side and change the sign $ $
$- x < 2 \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$- x < \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Subtract $ 3 $ from $ 2$
$- x < \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $
$\color{#FF6800}{ x } > \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$x > \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 1 \right )$
$ $ Simplify Minus $ $
$x > 1$
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