example-of How to Graph a Linear Inequality
1.Rearrange the equation so "y" is on the left and everything else on the right.
2.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3.Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Or another example
We are going to graph the equation -4x+2y=2.
First we solve the equation for y:
−4x+2y−4x+2y+4x2y2y2y=====24x+24x+24x+222x+1
−4x+2y = 2 −4x+2y+4x = 4x+2 2y = 4x+2
2
y
2
=
4
x
+
2
2
y = 2x+1
Second we create our table:
x y=2x+1
-2 -3
0 1
2 5
In the table above we have used our values for x to determine our matching values for y by exchanging the x in the equation for our given x-value.
As a last step we graph our points in the coordinate plane and connect them with a straight line.
Graph 3
