SOLUTION: Graph the inequality, x < –2

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Question 117009: Graph the inequality, x < –2
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 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 not true, we simply shade the entire portion that does not contain the point x =0 using the point as the boundary. This means we shade everything to the left of the point like this:
Graph of with the shaded region in blue

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

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