SOLUTION: How do I graph the inequality y>-3x and plot it on a line?

Click here to see ALL problems on Graphs

Question 1059825: How do I graph the inequality y>-3x and plot it on a line?
Found 2 solutions by josgarithmetic, Fombitz:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
The reference line for the given inequality is y=-3x and this LINE is easily graphed, either using a x, y, data table or simple knowledge of the slope-intercept form in which you find this equation.

Your given inequality will be the portion of the plane ABOVE the reference line, and EXCLUDING the line. You would show this on paper by drawing as a DOTTED LINE for , but because you want y GREATER THAN , you shade the region ABOVE the line.

Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
You can't plot it on a line, you have to graph on the x-y plane.
First graph the line,
,
,
,
.
,
,
,
Now choose any point not on the line.
Test the inequality.
If true, shade the region containing the chosen point.
If false, shade the region not containing the chosen point.
Let's choose (1,1),

True, so shade the region containing (1,1)
.
.
.
.
.
.
.
Since the inequality does not include an equal sign, the line is dotted to show that it is not part of the solution.