# How do you graph the system of linear inequalities #y> -1#, #x>=-1# and #y>=-x+1#?

##### 1 Answer

Graph each inequality as if it were an equation, using a solid or dotted lines, and the shade.

#### Explanation:

Graph the system of inequalities.

Graph all the inequalities as if they were equations, using solid or dotted lines as appropriate, then add shading as detailed below.

The graph of

To graph the inequality, draw a dotted line (

The graph of

To graph the inequality, draw a solid line (because it is

The graph of

To choose shading for the inequality, pick a test point not on the line. An easy point to choose is

This inequality is FALSE, so do not shade on the

The solution to the system of inequalities is the area where all three shadings intersect, in this case the upper right area of the graph.