SOLUTION: Graph the inequality. x < –2 Someone please help me with this I have no idea how to do this or how am I supposed to "make a graph on Word"--HELP!! Thank you so much for every

Algebra ->  Trigonometry-basics -> SOLUTION: Graph the inequality. x < –2 Someone please help me with this I have no idea how to do this or how am I supposed to "make a graph on Word"--HELP!! Thank you so much for every      Log On


   

Question 102519: Graph the inequality.
x < –2
Someone please help me with this I have no idea how to do this or how am I supposed to "make a graph on Word"--HELP!!
Thank you so much for everyone who has helped me I really appreciate it. I am trying my best to thank all with an email but of course am running behind on that AND homework. Thanks again!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph x%3C-2, we need to graph the equation x=-2 (just replace the inequality sign with an equal sign).
So lets graph the line x=-2 (simply draw a vertical line through x=-2)
+graph%28+500%2C+500%2C+-20%2C+20%2C+-20%2C+20%2C+1000%28x--2%29%29+ graph of x=-2
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 x%3C-2 with the test point

Substitute (0,0) into the inequality
%280%29%3C-2 Plug in x=0 and y=0
0%3C-2 Simplify



(note: for some reason, some of the following images do not display correctly in Internet Explorer. So I would 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 x%3C-2 with the boundary (which is the line x=-2 in red) and the shaded region (in green)
(note: since the inequality contains a less-than sign, this means the boundary is excluded. This means the solid red line is really a dashed line)