Respuesta :

Answer:

The only r-value that satisfy the given inequality is;

[tex]r=9[/tex]

Explanation:

Given the inequality;

[tex]\frac{r}{3}+5\leq8[/tex]

Let's solve by firstly subtracting 5 from both sides;

[tex]\begin{gathered} \frac{r}{3}+5-5\leq8-5 \\ \frac{r}{3}\leq3 \end{gathered}[/tex]

Then let's multiply both sides by 3;

[tex]\begin{gathered} \frac{r}{3}\times3\leq3\times3 \\ r\leq9 \end{gathered}[/tex]

Therefore, the only r-value that satisfy the given inequality is;

[tex]r=9[/tex]