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Do you know what your first step should be?
No never learned it
Normally with this type of inequality, you would start by making sure that the absolute value signs (the two vertical lines) and the stuff that's inside of them are the only things to the left of the inequality sign. In this problem they are already isolated, so it saves you a step.
You would begin by setting up two inequalities:|dw:1436824176437:dw|
Let's solve the first inequality to start.|dw:1436824311064:dw|
Now the other one:
So your two equations are now: x>-5 and x<-2. To figure out the interval notation let's combine the two and make a graph.
Do you know what interval notation is?
It is kind of hard to put into words without a bunch of my crappy drawing skills, so I found this awesome website that puts it pretty simply. here is the link: http://www.coolmath.com/algebra/07-solving-inequalities/03-interval-notation-01 If you just read page one and a bit on page two you can message back and let me know if you understand.
Begin reading at "Let's start with the first one"
And end at "try it!"
Do you know the correct answer?
It is (-5,-2).