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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
    • one year ago
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    Do you know what your first step should be?

  2. anonymous
    • one year ago
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    No never learned it

  3. anonymous
    • one year ago
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    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
    • one year ago
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    You would begin by setting up two inequalities:|dw:1436824176437:dw|

  5. anonymous
    • one year ago
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    Let's solve the first inequality to start.|dw:1436824311064:dw|

  6. anonymous
    • one year ago
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    Now the other one:

  7. anonymous
    • one year ago
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    |dw:1436824491476:dw|

  8. anonymous
    • one year ago
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    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
    • one year ago
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    |dw:1436824607930:dw|

  10. anonymous
    • one year ago
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    Do you know what interval notation is?

  11. anonymous
    • one year ago
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    No

  12. anonymous
    • one year ago
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    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
    • one year ago
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    Begin reading at "Let's start with the first one"

  14. anonymous
    • one year ago
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    And end at "try it!"

  15. anonymous
    • one year ago
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    Thank you

  16. anonymous
    • one year ago
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    Do you know the correct answer?

  17. anonymous
    • one year ago
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    It is (-5,-2).

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