SOLUTION: Graph the solution set of x > 3

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Question 127339: Graph the solution set of x > 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Now let's graph the solution set


Start with the given inequality:

x+%3E+3

Set up a number line:
number_line%28500%2C-7%2C13%29

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


number_line%28500%2C-7%2C13%2C++3%29


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


0%3E+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 right of the point x+=+3 like this:
Graph of x+%3E+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.