SOLUTION: x<0 - The line is supposed to be under the less than sign

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Question 113924: x<0
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The line is supposed to be under the less than sign
Answer by jim_thompson5910(21682) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

x%3C=0

Set up a number line and plot the point x=0 on the number line


number_line%28500%2C-10%2C10%2C+0%29


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


0%3C=0 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=0 as the boundary.This means we shade everything to the left of the point x=0 like this:
drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28500%2C-10%2C10%2C+0%29%2C%0D%0Ablue%28line%280%2C-5%2C0-10%2C-5%29%29%2C%0D%0Ablue%28line%280%2C-6%2C0-10%2C-6%29%29%2C%0D%0Ablue%28line%280%2C-7%2C0-10%2C-7%29%29%2C%0D%0Ablue%28arrow%280%2C-5%2C0-10.2%2C-5%29%29%2C%0D%0Ablue%28arrow%280%2C-5.5%2C0-10.2%2C-5.5%29%29%2C%0D%0Ablue%28arrow%280%2C-6%2C0-10.2%2C-6%29%29%0D%0A%29 Graph of x%3C=0 with the shaded region in blue
note: at the point x=0, there is an closed circle. This means the point x=0 is included from the solution set.