Chapter 1, Problem 40SGR

To determine

To solve: the given inequality and graph the solution on number line.

Answer to Problem 40SGR

The solution is given by $r>55$ .

Explanation of Solution

Given information:

Given inequality

  $\frac{r}{5}-8>3$

Calculation:

Consider the given inequality,

  $\frac{r}{5}-8>3$

Now, solve the inequality as shown,

  $\begin{array}{c}\frac{r}{5}-8>3\\ \frac{r}{5}-8+8>3+8\\ \frac{r}{5}>11\\ \frac{r}{5}\cdot 5>11\cdot 5\\ r>55\end{array}$

Now, graph the inequality as shown:

  

The open ball suggests that the solution region is not included the point $55$ .

Greater than sign indicates the region is right side to the point $55$ on number line.

Hence, the solution of the inequality is $r>55$ .