Which graph shows the solution to the system of linear inequalities? y>2/3x+3
y-<-1/3x+2

Given:

The inequalities are:

To find:

The graph for the given system of inequities.

Solution:

We have,

The related equations are:

Table of values

x                                              

0                             3                                           2

3                             5                                           1

Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line .

Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line .

In , the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.

, the sign of inequality is "" it means the boundary line is a solid line and shaded area lies below the boundary line.

Therefore, the required graph is shown below.