Chapter 8.9, Problem 3E

To determine

To tell:

Whether the ordered pair $(-2,5)$ is a solution for the given inequality.

Answer to Problem 3E

The ordered pair $(-2,5)$ is not a solution for the given inequality.

Explanation of Solution

Given:

An inequality:

  $4x+y>-1$

Calculation:

To check whether the ordered pair $(-2,5)$ is a solution for the given inequality, we will substitute coordinates of given point in our inequality as shown below:

  $\begin{array}{l}4x+y>-1\left(\text{Given inequality}\right)\\ 4(-2)+5>-1\left(\text{Substituting }x=-2\text{and }y=5\right)\\ -8+5>-1\\ -3>-1\end{array}$

Since the given point doesn’t satisfy our given inequality, therefore, the ordered pair $(-2,5)$ is not a solution for the given inequality.