SOLUTION: graph x<2

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Question 127333: graph
x<2
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%3C2

Set up a number line:
number_line%28500%2C-8%2C12%29

Now plot the point x=2 on the number line


number_line%28500%2C-8%2C12%2C+2%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3C2


0%3C2 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=2 as the boundary.This means we shade everything to the left of the point x=2 like this:
Graph of x%3C2 with the shaded region in blue

note: at the point x=2, there is an open circle. This means the point x=2 is excluded from the solution set.