You can put this solution on YOUR website!
Think about how you've done on the number line.
For instance, they'd ask you to graph something like or
Recall that:
greater than" meant "" on the number line
less than" meant "" the number line
now do your inequality:
the first step is to find the " " part, or
then graph it:
Plotting a graph:
This solver uses formula rendering system and here's the actual formula that was plotted:
graph( 600, 400, -10, 10, -6, 5, 1 )
You have already graphed the " " part (it is just the horizontal line);
now you are ready to do the " " part; it means, this is where you need to of the line .
All you need to be sure is: do you need the line, do you need the line, or the line?
Since you have , you want the line. So shade it in: .
the side you shaded is the ""
You can put this solution on YOUR website! In order to graph , we need to graph the equation (just replace the inequality sign with an equal sign).
So lets graph the line (simply draw a horizontal line through )
graph of
Now lets pick a test point, say (0,0). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality with the test point
Substitute (0,0) into the inequality
Plug in and Simplify
(note: for some reason, some of the following images do not display correctly in Internet Explorer. So I recommend the use of Firefox to see these images.)
Since this inequality is not true, we do not shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line
Graph of with the boundary (which is the line in red) and the shaded region (in green)
(