Chapter 6, Problem 20PT

To determine

To graph : To solve the below mentioned inequalities b graphing:

  $x>2$

And $y<4$

Explanation of Solution

Given information :

Given the two inequalities:

  $\begin{array}{l}x>2\\ y<4\end{array}$

Graph : The graph plotted below using the inequalities:

  $\begin{array}{l}x>2\\ y<4\end{array}$

Equation $x>2$ is represented by light blue area in above graph.

And $y<4$ is represented by light green area in above graph.

Interpretation : >From the above graph, we see that $x>2$ is the left area of line $x=2$ (excluding the value $x=2$ ) which has been represented in light blue green. And we see that $y<4$ is the bottom area of the line $y=4$ ( excluding the value of $y=4$ ) which has been represented in the light green area.

So final solution is common color area which is in dark green color. It covers the area bottom to $y<4$ and left to $x>2$ .