Chapter 6.5, Problem 8PPE

To determine

To verify the ordered pair $\left(2,2\right)$ is a solution of $y\le -2x+1$ .

Answer to Problem 8PPE

The ordered pair $\left(2,2\right)$ is not a solution of $y\le -2x+1$ .

Explanation of Solution

Given:

Inequality is $y\le -2x+1$ and the ordered pair is $\left(2,2\right)$ .

Calculation:

Substituitng $\left(2,2\right)$ in $y\le -2x+1$ , we get

  $\begin{array}{l}2\le -2\left(2\right)+1\\ \Rightarrow 2\le -4+1\\ \Rightarrow 2\le -3\text{which}\text{is}\text{not}\text{true}\text{.}\end{array}$

Therefore the ordered pair $\left(2,2\right)$ is not a solution of $y\le -2x+1$ .