SOLUTION: Graph the solution set of x __< 9. The line is supposed to be dirrectly under the < Just do not no how to do this. I need help with this problem please.

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Graph the solution set of x __< 9. The line is supposed to be dirrectly under the < Just do not no how to do this. I need help with this problem please.      Log On

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Question 103794: Graph the solution set of x __< 9.
The line is supposed to be dirrectly under the < Just do not no how to do this. I need help with this problem please.
Answer by jim_thompson5910(21670) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

x%3C=9

Set up a number line:
number_line%28500%2C-1%2C19%29

Now plot the point x=9 on the number line


number_line%28500%2C-1%2C19%2C+9%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3C=9


0%3C=9 Plug in x=0


Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point x=9 as the boundary.This means we shade everything to the left of the point x=9 like this:
drawing%28500%2C50%2C-1%2C19%2C-10%2C10%2C%0D%0Anumber_line%28500%2C-1%2C19%2C+9%29%2C%0D%0Ablue%28line%289%2C-5%2C9-10%2C-5%29%29%2C%0D%0Ablue%28line%289%2C-6%2C9-10%2C-6%29%29%2C%0D%0Ablue%28line%289%2C-7%2C9-10%2C-7%29%29%2C%0D%0Ablue%28arrow%289%2C-5%2C9-10.2%2C-5%29%29%2C%0D%0Ablue%28arrow%289%2C-5.5%2C9-10.2%2C-5.5%29%29%2C%0D%0Ablue%28arrow%289%2C-6%2C9-10.2%2C-6%29%29%0D%0A%29 Graph of x%3C=9 with the shaded region in blue
note: at the point x=9, there is an closed circle. This means the point x=9 is included from the solution set.