Chapter 3.5, Problem 41E

To determine

To graph:The solution of the inequality $\frac{z}{7.2}<-3.4$ using calculator.

Explanation of Solution

Given information:

Consider the information provided in the question.

Calculation:

  $\begin{array}{l}\frac{z}{7.2}<-3.4\text{ original inequality}\\ \text{7}\text{.2 }\text{.}\frac{z}{7.2}>-7.2\text{. 3}\text{.4 multiply each side by 7}\text{.2}\\ \text{ reverse the inequality}\\ z>-24.48\text{ simplify}\end{array}$

Graph:

Use graphing calculator to graph the inequality:

Step 1: Press $\boxed{Z=}$ 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:

  

  $z>-24.48$ is shown in the graph.

From, the above graph, it is observed that the solution of the inequality is all number greaterthan $-24.48$ .

Hence, $z>-24.48$ .