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Solve the inequality
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$1500 x + 1000 \left ( 7 - x \right ) \leq 10000$
$1500 x + 1000 \left ( 7 - x \right ) \leq 10000$
Solution of inequality
$x \leq 6$
$1500x+1000 \left( 7-x \right) \leq 10000$
$x \leq 6$
 Solve a solution to $x$
$1500 x + \color{#FF6800}{ 1000 } \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) \leq 10000$
 Multiply each term in parentheses by $1000$
$1500 x + \color{#FF6800}{ 1000 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 1000 } \color{#FF6800}{ x } \leq 10000$
$1500 x + \color{#FF6800}{ 1000 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } - 1000 x \leq 10000$
 Multiply $1000$ and $7$
$1500 x + \color{#FF6800}{ 7000 } - 1000 x \leq 10000$
$\color{#FF6800}{ 1500 } \color{#FF6800}{ x } + 7000 \color{#FF6800}{ - } \color{#FF6800}{ 1000 } \color{#FF6800}{ x } \leq 10000$
 Calculate between similar terms 
$\color{#FF6800}{ 500 } \color{#FF6800}{ x } + 7000 \leq 10000$
$500 x \color{#FF6800}{ + } \color{#FF6800}{ 7000 } \leq 10000$
 Move the constant to the right side and change the sign 
$500 x \leq 10000 \color{#FF6800}{ - } \color{#FF6800}{ 7000 }$
$500 x \leq \color{#FF6800}{ 10000 } \color{#FF6800}{ - } \color{#FF6800}{ 7000 }$
 Subtract $7000$ from $10000$
$500 x \leq \color{#FF6800}{ 3000 }$
$\color{#FF6800}{ 500 } \color{#FF6800}{ x } \leq \color{#FF6800}{ 3000 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } \leq \color{#FF6800}{ 6 }$
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