anonymous
  • anonymous
Find the solution set of this inequality enter in interval notation using grouping symbols. |-4x - 14|<6
Algebra
schrodinger
  • schrodinger
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anonymous
  • anonymous
Do you know what your first step should be?
anonymous
  • anonymous
No never learned it
anonymous
  • anonymous
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.

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anonymous
  • anonymous
You would begin by setting up two inequalities:|dw:1436824176437:dw|
anonymous
  • anonymous
Let's solve the first inequality to start.|dw:1436824311064:dw|
anonymous
  • anonymous
Now the other one:
anonymous
  • anonymous
|dw:1436824491476:dw|
anonymous
  • anonymous
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.
anonymous
  • anonymous
|dw:1436824607930:dw|
anonymous
  • anonymous
Do you know what interval notation is?
anonymous
  • anonymous
No
anonymous
  • anonymous
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.
anonymous
  • anonymous
Begin reading at "Let's start with the first one"
anonymous
  • anonymous
And end at "try it!"
anonymous
  • anonymous
Thank you
anonymous
  • anonymous
Do you know the correct answer?
anonymous
  • anonymous
It is (-5,-2).

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