Question

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

Answer 1

`r > -4`

Explanation:

`r/4 -10 > -11`

`color(white)("XXXX")`add 10 to both sides
`r/4 > -1`
`color(white)("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