Chapter 8.9, Problem 19E

To determine

To tell:

Whether the ordered pair $(0,-3)$ is a solution for the given inequality.

Answer to Problem 19E

The ordered pair $(0,-3)$ is a solution for the given inequality.

Explanation of Solution

Given:

An inequality:

  $5x-8y\ge 2$

Calculation:

To check whether the ordered pair $(0,-3)$ is a solution for the given inequality, we will substitute coordinates of given point in our inequality as shown below:

  $\begin{array}{l}5x-8y\ge 2\left(\text{Given inequality}\right)\\ 5(0)-8(-3)\ge 2\left(\text{Substituting }x=0\text{}\text{ and }y=-3\right)\\ 0+24\ge 2\\ 24\ge 2\end{array}$

Since the given pointsatisfies our given inequality, therefore, the ordered pair $(0,-3)$ isa solution for the given inequality.