Chapter 8.3, Problem 49E

To determine

To state: whether the given ordered pair is a solution for the inequality.

Answer to Problem 49E

Yes

Explanation of Solution

Given information:

  $\begin{array}{c}\text{Inequatity: }y<4x^2-3x+5\\ \text{Ordered pairs: }\left(7,-2\right)\end{array}$

Calculation:

Substitute $x=7$ and $y=-2$ in the inequality and simplify as shown below.

  $\begin{array}{l}y<4x^2-3x+5\\ -2<4{\left(7\right)}^2-3\left(7\right)+5\\ -2<4\left(49\right)-21+5\\ -2<180\\ \left(\text{True}\right)\end{array}$

Since $-2<180$ , so $\left(7,-2\right)$ is the solution of the given inequality.