Chapter 3.5, Problem 42E

To determine

To graph: The solution of the inequality $6.3a>10.71$ 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:

  

  $a>1.7$ is shown in the graph is shown in the $y$ axis.

Interpretation:

  $\begin{array}{l}6.3a>10.71\text{ original inequality}\\ \frac{6.3a}{6.3}>\frac{10.71}{6.3}\text{ divide each side by 6}\text{.3}\\ a>1.7\text{ simplify}\end{array}$

From, the above graph, it is observed that the solution of the inequality is all number greater than $a$ .

Hence, $a>1.7$ .