Chapter 3.5, Problem 40E

To determine

To graph: The solution of the inequality $\frac{x}{2.4}\ge 8.5$ using calculator.

Explanation of Solution

Given information:

Consider the information provided in the question.

Graph:

Use graphing calculator to graph the inequality:

Step 1: Press $\boxed{\text{Y}=}$ button on the calculator.

Step 2: Enter the inequality equation (define the inequality)

Step 3: Set the windows according to the graph.

Step 4: Press $\boxed{\text{Graph}}$ button to obtain the graph of the inequality.

Hence,

The graph thus obtained is shown below:

  

Interpretation:

  $\begin{array}{l}\frac{x}{2.4}\ge 8.5\text{ original inequality}\\ \text{2}\text{.4 }\text{.}\frac{x}{2.4}\le 2.4\text{. 8}\text{.5 multiply each side by 2}\text{.4}\\ \text{ reverse the inequality}\\ x\le 20.4\text{ simplify}\end{array}$

From, the above graph, it is observed that the solution of the inequality is all number less than or equal to 20.4 hence, $x\le 20.4$ .