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.

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



Set up a number line:


Now plot the point x=9 on the number line





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


Plug in


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 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.

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