Chapter 3, Problem 18CR

To determine

To solve:The inequality $\frac{b}{7}\ge 13$ and graph the solution.

Answer to Problem 18CR

The solution of the provided inequality is $b\ge 91$

Explanation of Solution

Given information:

Consider, the inequality provided in the question,

  $\frac{b}{7}\ge 13$

Calculation:

The solution of the inequality is:

  $\begin{array}{l}\frac{b}{7}\ge 13\text{ (Write the original inequality)}\\ 7\left(\frac{b}{7}\right)\ge 7\left(13\right)\text{ (Multiply each side by }7\text{)}\\ b\ge 91\text{ (Simplify)}\end{array}$

The graph of $b\ge 91$ is sketched below:

  

Hence,

The solution of the provided inequality is $b\ge 91$