Question

solve for r.
8 < \\(\frac{r}{5}\\) + 10

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( r \), we subtract 10 from both sides of the inequality \( 8 < \frac{r}{5} + 10 \). This gives us \( 8 - 10 < \frac{r}{5} + 10 - 10 \), which simplifies to \( -2 < \frac{r}{5} \).

Step2: Multiply both sides by 5

To solve for \( r \), we multiply both sides of the inequality \( -2 < \frac{r}{5} \) by 5. This gives us \( -2\times5 < \frac{r}{5}\times5 \), which simplifies to \( -10 < r \) or \( r > -10 \).

Answer:

\( r > -10 \)