SOLUTION: Graph the solution set of x > –7.

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Question 127338: Graph the solution set of x > –7.
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+%3E+-7

Set up a number line:
number_line%28500%2C-17%2C3%29

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


number_line%28500%2C-17%2C3%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 open circle. This means the point x+=+-7 is excluded from the solution set.