SOLUTION: Graph the inequality. y > 1 (with a line under the sign)

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Question 91290: Graph the inequality.
y > 1 (with a line under the sign)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph y%3E=1, we need to graph the equation y=1 (just replace the inequality sign with an equal sign).
So lets graph the line y=1 (simply draw a horizontal line through y=1)
+graph%28+500%2C+500%2C+-20%2C+20%2C+-20%2C+20%2C+1%29+ graph of y=1
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=1 with the test point

Substitute (0,0) into the inequality
%280%29%3E=1 Plug in x=0 and y=0
0%3E=1 Simplify


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 y%3E=1 with the boundary (which is the line y=1 in red) and the shaded region (in green)