Answer:
The only r-value that satisfy the given inequality is;
![r=9](https://img.qammunity.org/2023/formulas/mathematics/college/wubjkfc1c5duju9d0re87o9yk31czyyrua.png)
Step-by-step explanation:
Given the inequality;
![(r)/(3)+5\leq8](https://img.qammunity.org/2023/formulas/mathematics/college/szhv1gr104lhsoj39rv52wx09ua27s8djf.png)
Let's solve by firstly subtracting 5 from both sides;
![\begin{gathered} (r)/(3)+5-5\leq8-5 \\ (r)/(3)\leq3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7xmhis2qwc1x9z58hy7h7xh0mjhu8b6wpu.png)
Then let's multiply both sides by 3;
![\begin{gathered} (r)/(3)*3\leq3*3 \\ r\leq9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ycdljyfbneqnhlaezeokdzc38yr2ielqxe.png)
Therefore, the only r-value that satisfy the given inequality is;
![r=9](https://img.qammunity.org/2023/formulas/mathematics/college/wubjkfc1c5duju9d0re87o9yk31czyyrua.png)