# How do you solve r/4 - 10 > - 11?

Sep 14, 2015

$r > - 4$

#### Explanation:

$\frac{r}{4} - 10 > - 11$

$\textcolor{w h i t e}{\text{XXXX}}$add 10 to both sides
$\frac{r}{4} > - 1$
$\textcolor{w h i t e}{\text{XXXX}}$multiply both sides by 4
$r > - 1$

Things you can do with expressions in an inequality which maintain the inequality orientation:

• Add the same amount to each expression
• Subtract the same amount from each expression
• Divide each expression by the same amount provided the amount is greater than zero
• Multiply each expression by the same amount provided the amount is greater than zero

Things you can do with expressions in an inequality which reverse the inequality orientation.

• Divide each expression by the same amount when the amount is less than zero
• Multiply each expression by the same amount when the amount is less than zero