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liljenredd

Need help with |x-5|+5<8 show the steps please

  • 2 years ago
  • 2 years ago

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  1. dimbeni
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    you can start by subtracting 5 from both sides, getting |x-5|<3

    • 2 years ago
  2. xokatexo
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    sorry i was going to answer but dimbeni looks like he got it! :)

    • 2 years ago
  3. liljenredd
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    ok thanks xokatexo

    • 2 years ago
  4. xokatexo
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    your welcome<3

    • 2 years ago
  5. dimbeni
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    then you split it in two: when |x-5| >0, it becomes x-5<3, i.e. x-5>0 AND x-5<3 x>5 AND x<8 5<x<8

    • 2 years ago
  6. dimbeni
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    when x-5<=0, it becomes -x+5<3, i.e. x<=5 AND x>2 2<x<=5

    • 2 years ago
  7. dimbeni
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    Finally, you join the two sets, getting 2<x<8

    • 2 years ago
  8. liljenredd
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    where did the 8 come from?

    • 2 years ago
  9. dimbeni
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    first part, when you have x-5<3, add 5 on both sides

    • 2 years ago
  10. liljenredd
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    oh ok I forgot about the 8

    • 2 years ago
  11. liljenredd
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    thanks!

    • 2 years ago
  12. dimbeni
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    ;-)

    • 2 years ago
  13. xokatexo
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    can i have a medal? haha jk you dont have to give me onee!

    • 2 years ago
  14. liljenredd
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    I gave you one for effort!

    • 2 years ago
  15. xokatexo
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    omg thanks! my first one!

    • 2 years ago
  16. liljenredd
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    thanks dimbeni I get it now!!!! your welcome xo :)

    • 2 years ago
  17. xokatexo
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    xoxx<3

    • 2 years ago
  18. liljenredd
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    question, how do you write it in interval notation form?

    • 2 years ago
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spraguer (Moderator)
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