SOLUTION: x+5>-13 i need help pn the steps. I also need help pn the graphing

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Question 127513: x+5>-13
i need help pn the steps. I also need help pn the graphing

Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B5%3E-13 Start with the given inequality



x%3E-13-5Subtract 5 from both sides


x%3E-18 Combine like terms on the right side

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Answer:
So our answer is x%3E-18





Now let's graph the solution set


Start with the given inequality:

x%3E-18

Set up a number line:
number_line%28500%2C-28%2C-8%29

Now plot the point x=-18 on the number line


number_line%28500%2C-28%2C-8%2C+-18%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E-18


0%3E-18 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=-18 as the boundary.This means we shade everything to the right of the point x=-18 like this:
drawing%28500%2C50%2C-28%2C-8%2C-10%2C10%2C%0D%0Anumber_line%28500%2C-28%2C-8%29%2C%0D%0Acircle%28-18%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-18%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-18%2C-5.8%2C0.45%29%2C%0D%0Ablue%28line%28-18%2C-5%2C-18%2B10%2C-5%29%29%2C%0D%0Ablue%28line%28-18%2C-6%2C-18%2B10%2C-6%29%29%2C%0D%0Ablue%28line%28-18%2C-7%2C-18%2B10%2C-7%29%29%2C%0D%0Ablue%28arrow%28-18%2C-5%2C-18%2B10.2%2C-5%29%29%2C%0D%0Ablue%28arrow%28-18%2C-5.5%2C-18%2B10.2%2C-5.5%29%29%2C%0D%0Ablue%28arrow%28-18%2C-6%2C-18%2B10.2%2C-6%29%29%0D%0A%29 Graph of x%3E-18 with the shaded region in blue
note: at the point x=-18, there is an open circle. This means the point x=-18 is excluded from the solution set.