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

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

Start with the given inequality.

Add to both sides.

Add to both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

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Answer:

So the solution is

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.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
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