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Solve the inequality
Answer
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$\dfrac { 93 + 84 + 96 + x } { 4 } \geq 90$
$\dfrac { 93 + 84 + 96 + x } { 4 } \geq 90$
Solution of inequality
$x \geq 87$
$\dfrac{ 93+84+96+x }{ 4 } \geq 90$
$x \geq 87$
$ $ Solve a solution to $ x$
$\dfrac { \color{#FF6800}{ 93 } \color{#FF6800}{ + } \color{#FF6800}{ 84 } \color{#FF6800}{ + } \color{#FF6800}{ 96 } + x } { 4 } \geq 90$
$ $ Find the sum $ $
$\dfrac { \color{#FF6800}{ 273 } + x } { 4 } \geq 90$
$\dfrac { \color{#FF6800}{ 273 } \color{#FF6800}{ + } \color{#FF6800}{ x } } { 4 } \geq 90$
$ $ Organize the expression $ $
$\dfrac { \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 273 } } { 4 } \geq 90$
$\color{#FF6800}{ \dfrac { x + 273 } { 4 } } \geq \color{#FF6800}{ 90 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 273 } \geq \color{#FF6800}{ 360 }$
$x \color{#FF6800}{ + } \color{#FF6800}{ 273 } \geq 360$
$ $ Move the constant to the right side and change the sign $ $
$x \geq 360 \color{#FF6800}{ - } \color{#FF6800}{ 273 }$
$x \geq \color{#FF6800}{ 360 } \color{#FF6800}{ - } \color{#FF6800}{ 273 }$
$ $ Subtract $ 273 $ from $ 360$
$x \geq \color{#FF6800}{ 87 }$
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