Graph of Inequalities

m

1

1.5

b

1

0.4

reverse inequality

y

1

m

2

0.3

b

2

2.1

reverse inequality

y

2

m

3

-0.8

b

3

1.3

reverse inequality

y

3

The graph of a linear equation is a straight line. The graph of a linear inequality is the half of the plane to one side of the line. The solution of a system of inequalities is the set intersection of the regions for each inequality. It may be the empty set, a finite polygon, the inside of an acute angle, a strip, and so on, depending on the nature of the inequalities.