SOLUTION: Graph the solution set of x > or equal to –7. For whatever reason I am blank on this one...

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Question 92577: Graph the solution set of x > or equal to –7.
For whatever reason I am blank on this one...
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

x%3E=-7

Set up a number line:
number_line%28+500%2C+-10%2C+10%29

Now plot the point x=-7 on the number line


number_line%28+500%2C+-10%2C+10%2C+-7%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E=-7


0%3E=-7 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=-7 as the boundary.This means we shade everything to the right of the point x=-7 like this
Graph of x%3E=-7 with the shaded region in blue
note: at the point x=-7, there is an closed circle. This means the point x=-7 is included from the solution set.