anonymous one year ago Find the solution set of this inequality enter in interval notation using grouping symbols. |-4x - 14|<6

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1. anonymous

Do you know what your first step should be?

2. anonymous

No never learned it

3. 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.

4. anonymous

You would begin by setting up two inequalities:|dw:1436824176437:dw|

5. anonymous

Let's solve the first inequality to start.|dw:1436824311064:dw|

6. anonymous

Now the other one:

7. anonymous

|dw:1436824491476:dw|

8. 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.

9. anonymous

|dw:1436824607930:dw|

10. anonymous

Do you know what interval notation is?

11. anonymous

No

12. 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.

13. anonymous

14. anonymous

And end at "try it!"

15. anonymous

Thank you

16. anonymous

Do you know the correct answer?

17. anonymous

It is (-5,-2).