Chapter 11.2, Problem 16E

To determine

To graph: the inequality of $y>0.5x+1.5$

Explanation of Solution

Given information: Consider, the expression provided in the question

  $y>0.5x+1.5$

Graph: Draw the boundary line $y>3x-5$ . The inequality symbol is >, so use a dotted line

Test the point $\left(0,0\right)$ in the inequality

  $\begin{array}{l}y>0.5x+1.5\\ \left(0\right)>0.5\left(0\right)+1.5\\ 0>1.5\end{array}$

  

Interpretation: Because $\left(0,0\right)$ is not a solution, shade the half plane that does not contain $\left(0,0\right)$