SOLUTION: X>-1 - The line is supposed to be under the greater than sign.

Algebra ->  Algebra  -> Inequalities -> SOLUTION: X>-1 - The line is supposed to be under the greater than sign.       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 113919: X>-1
-
The line is supposed to be under the greater than sign.


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


Start with the given inequality:

x%3E=-1

Set up a number line:
number_line%28500%2C-11%2C9%29

Now plot the point x=-1 on the number line


number_line%28500%2C-11%2C9%2C+-1%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E=-1


0%3E=-1 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=-1 as the boundary.This means we shade everything to the right of the point x=-1 like this:
drawing%28500%2C50%2C-11%2C9%2C-10%2C10%2C%0D%0Anumber_line%28500%2C-11%2C9%2C+-1%29%2C%0D%0Ablue%28line%28-1%2C-5%2C-1%2B10%2C-5%29%29%2C%0D%0Ablue%28line%28-1%2C-6%2C-1%2B10%2C-6%29%29%2C%0D%0Ablue%28line%28-1%2C-7%2C-1%2B10%2C-7%29%29%2C%0D%0Ablue%28arrow%28-1%2C-5%2C-1%2B10.2%2C-5%29%29%2C%0D%0Ablue%28arrow%28-1%2C-5.5%2C-1%2B10.2%2C-5.5%29%29%2C%0D%0Ablue%28arrow%28-1%2C-6%2C-1%2B10.2%2C-6%29%29%0D%0A%29 Graph of x%3E=-1 with the shaded region in blue
note: at the point x=-1, there is an closed circle. This means the point x=-1 is included from the solution set.