SOLUTION: -x<_91

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Question 115218: -x<_91
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-x%3C=91 Start with the given inequality



x%3E=%2891%29%2F%28-1%29 Divide both sides by -1 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E=-91 Divide

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Answer:
So our answer is x%3E=-91


Now let's graph the solution


Start with the given inequality:

x%3E=-91

Set up a number line:
number_line%28500%2C-101%2C-81%29

Now plot the point x=-91 on the number line


number_line%28500%2C-101%2C-81%2C+-91%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E=-91


0%3E=-91 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=-91 as the boundary.This means we shade everything to the right of the point x=-91 like this:
Graph of x%3E=-91 with the shaded region in blue
note: at the point x=-91, there is an closed circle. This means the point x=-91 is included from the solution set.