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Math Help - Solving Inequalities involving absolute zero

  1. #1
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    Solving Inequalities involving absolute zero

    Alright, I think I get how to do these problems, but just to be on the safe side, could somebody check to make sure I did it right?
    Here's the original expression:
    5|y+3|-7<8

    And here's my work:
    5|y+3|-7<8
    5|y+3|<15
    |y+3|<3

    y+3>-3 and y+3<3

    Is there another step after that? Or is that it?
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  2. #2
    Moo
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    Hello,

    Yep, you can isolate y
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  3. #3
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    So my final answer should be:

    y > -6 and y < 0

    Is that correct?
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  4. #4
    Moo
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    Correct ^^

    So the solution will be : ]- 6 ; 0[
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