Chapter 8.9, Problem 5E

To determine

To tell:

Whether the ordered pair $(4,-4)$ is a solution for the given inequality.

Answer to Problem 5E

The ordered pair $(4,-4)$ is a solution for the given inequality.

Explanation of Solution

Given:

An inequality:

  $4x+y>-1$

Calculation:

To check whether the ordered pair $(4,-4)$ is a solution for the given inequality, we will substitute coordinates of given point in our inequality as shown below:

  $\begin{array}{l}4x+y>-1\left(\text{Given inequality}\right)\\ 4(4)+(-4)>-1\left(\text{Substituting }x=4\text{and }y=-4\right)\\ 16-4>-1\\ 12>-1\end{array}$

Since the given point satisfies our given inequality, therefore, the ordered pair $(4,-4)$ is a solution for the given inequality.