Graphs of Linear Inequalities

1
Graphs of Linear Inequalities
y mx c
y lt mx c
y gt mx c
2
y 2x
Example
Draw the boundary line
y 2x
0
2
4
Decide which side is y lt 2x
Use a point to check.
Shade out the region not required.
3
Example
x y gt 2
Draw the boundary line
x y 2
0
2
2
0
Decide which side is x y gt 2
Use a point to check.
Shade out the region not required.
4
Example
2x - y 5
Draw the boundary line
2x y 5
2.5
0
0
- 5
Decide which side is 2x - y 5
Use a point to check.
Shade out the region not required.