SOLUTION: x>-2

Algebra ->  Algebra  -> Inequalities -> SOLUTION: x>-2      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 113912: x>-2
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to graph?


Start with the given inequality:

x%3E-2

Set up a number line:
number_line%28500%2C-12%2C8%29

Now plot the point x=-2 on the number line


number_line%28500%2C-12%2C8%2C+-2%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E-2


0%3E-2 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 right of the point x=-2 like this:
drawing%28500%2C50%2C-12%2C8%2C-10%2C10%2C%0D%0Anumber_line%28500%2C-12%2C8%29%2C%0D%0Acircle%28-2%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-2%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-2%2C-5.8%2C0.45%29%2C%0D%0Ablue%28line%28-2%2C-5%2C-2%2B10%2C-5%29%29%2C%0D%0Ablue%28line%28-2%2C-6%2C-2%2B10%2C-6%29%29%2C%0D%0Ablue%28line%28-2%2C-7%2C-2%2B10%2C-7%29%29%2C%0D%0Ablue%28arrow%28-2%2C-5%2C-2%2B10.2%2C-5%29%29%2C%0D%0Ablue%28arrow%28-2%2C-5.5%2C-2%2B10.2%2C-5.5%29%29%2C%0D%0Ablue%28arrow%28-2%2C-6%2C-2%2B10.2%2C-6%29%29%0D%0A%29 Graph of x%3E-2 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.