SOLUTION: graph the inequality y>-2

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Question 107953: graph the inequality y>-2
Found 2 solutions by jim_thompson5910, needhelp?22:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph y%3E-2, we need to graph the equation y=-2 (just replace the inequality sign with an equal sign).
So lets graph the line y=-2 (simply draw a horizontal line through y=-2)
+graph%28+500%2C+500%2C+-20%2C+20%2C+-20%2C+20%2C+-2%29+ graph of y=-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 y%3E-2 with the test point

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




Since this inequality is true, we simply shade the entire region that contains (0,0)
Graph of y%3E-2 with the boundary (which is the line y=-2 in red) and the shaded region (in green)
(note: since the inequality contains a greater-than sign, this means the boundary is excluded. This means the solid red line is really a dashed line)

Answer by needhelp?22(3) About Me  (Show Source):