askillman2

To graph a system of linear inequalities , do the following for each inequality in the system:

Graph the line that corresponds to the inequality. Use a dashed line for an inequality with < or > and a solid line for an inequality with < or > .
Lightly shade the half-plane that is the graph of the inequality. Colored pencils may helpyou to distinguish the different half- planes.

The graph of the system is the region common to all of the half- planes . If you used colored pencils, it is the region that has been shaded with every color.

Solution

Graph the system.

Y>-3x - 1

y< x + 2

Inequality 1

Inequality 2

Begin by graphing each linear inequality use a different color for each half plane . For instance , you can use vertical lines for Inequality 1 and horizontal linesfor Inequality 2 . The graph of the system is the region that is darkley shaded.

Shade the half plane on and to the right of y= -3x - 1

Shade the half plane below y= x + 2

The graph of the system is th intersection of the two lines.