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 ->  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


   

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(35256) 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:
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.