SOLUTION: Graph the inequality (in an (x,y) coordinate system) x equal to or less than 4 Thank you.

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Question 110748: Graph the inequality (in an (x,y) coordinate system)
x equal to or less than 4
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph x%3C=4, we need to graph the equation x=4 (just replace the inequality sign with an equal sign).
So lets graph the line x=4 (simply draw a vertical line through x=4)
+graph%28+500%2C+500%2C+-20%2C+20%2C+-20%2C+20%2C+1000%28x-4%29%29+ graph of x=4
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=4 with the test point

Substitute (0,0) into the inequality
%280%29%3C=4 Plug in x=0 and y=0
0%3C=4 Simplify

Since this inequality is true, we simply shade the entire region that contains (0,0)
Graph of x%3C=4 with the boundary (which is the line x=4 in red) and the shaded region (in green)