SOLUTION: Graph the solution set of x < –3.

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Question 102505: Graph the solution set of x < –3.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

x%3C-3

Set up a number line:
number_line%28500%2C-13%2C7%29

Now plot the point x=-3 on the number line


number_line%28500%2C-13%2C7%2C+-3%29


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


0%3C-3 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=-3 as the boundary. This means we shade everything to the left of the point x=-3 like this:
Graph of x%3C-3 with the shaded region in blue

note: at the point x=-3, there is an open circle. This means the point x=-3 is excluded from the solution set.