SOLUTION: how do you solve -2x-9<-x-4 onto a number line?

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Question 554842: how do you solve -2x-9<-x-4 onto a number line?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2x-9%3C-x-4 Start with the given inequality.


-2x%3C-x-4%2B9 Add 9 to both sides.


-2x%2Bx%3C-4%2B9 Add x to both sides.


-x%3C-4%2B9 Combine like terms on the left side.


-x%3C5 Combine like terms on the right side.


x%3E%285%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-5 Reduce.


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Answer:

So the solution is x%3E-5


So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set on the number line



Note: there is an open circle at the endpoint.


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