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Formula
Solve the inequality
Answer
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Graph
$0.21 x - 0.48 < 0.15 x$
$0.21 x - 0.48 < 0.15 x$
Solution of inequality
$x < 8$
$0.21x-0.48 < 0.15x$
$x < 8$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 0.21 } \color{#FF6800}{ x } - 0.48 < 0.15 x$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { 21 x } { 100 } } - 0.48 < 0.15 x$
$\dfrac { 21 x } { 100 } \color{#FF6800}{ - } \color{#FF6800}{ 0.48 } < 0.15 x$
$ $ Convert decimals to fractions $ $
$\dfrac { 21 x } { 100 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 12 } { 25 } } < 0.15 x$
$\dfrac { 21 x } { 100 } - \dfrac { 12 } { 25 } < \color{#FF6800}{ 0.15 } \color{#FF6800}{ x }$
$ $ Calculate the multiplication expression $ $
$\dfrac { 21 x } { 100 } - \dfrac { 12 } { 25 } < \color{#FF6800}{ \dfrac { 3 x } { 20 } }$
$\color{#FF6800}{ \dfrac { 21 x } { 100 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 12 } { 25 } } < \color{#FF6800}{ \dfrac { 3 x } { 20 } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 21 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 48 } < \color{#FF6800}{ 15 } \color{#FF6800}{ x }$
$21 x - 48 < \color{#FF6800}{ 15 } \color{#FF6800}{ x }$
$ $ Move the variable to the left-hand side and change the symbol $ $
$21 x - 48 \color{#FF6800}{ - } \color{#FF6800}{ 15 } \color{#FF6800}{ x } < 0$
$21 x \color{#FF6800}{ - } \color{#FF6800}{ 48 } - 15 x < 0$
$ $ Move the constant to the right side and change the sign $ $
$21 x - 15 x < \color{#FF6800}{ 48 }$
$\color{#FF6800}{ 21 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \color{#FF6800}{ x } < 48$
$ $ Organize the expression $ $
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } < 48$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } < \color{#FF6800}{ 48 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } < \color{#FF6800}{ 8 }$
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