SOLUTION: Graph the inequality, x < –2

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Question 117009: Graph the inequality, x < –2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

x+%3C+-2

Set up a number line:
number_line%28500%2C-12%2C8%29

Now plot the point x+=+-2 on the number line


number_line%28500%2C-12%2C8%2C++-2%29


Now pick any test point you want, I'm going to choose x =0, and test the inequality x+%3C+-2


0%3C+-2 Plug in x+=0


Since this inequality is not true, we simply shade the entire portion that does not contain the point x =0 using the point x+=+-2 as the boundary. This means we shade everything to the left of the point x+=+-2 like this:
Graph of x+%3C+-2 with the shaded region in blue

note: at the point x+=+-2, there is an open circle. This means the point x+=+-2 is excluded from the solution set.