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liljenredd

  • 3 years ago

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

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

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

  3. liljenredd
    • 3 years ago
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    ok thanks xokatexo

  4. xokatexo
    • 3 years ago
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    your welcome<3

  5. dimbeni
    • 3 years ago
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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

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

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

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

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

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

  11. liljenredd
    • 3 years ago
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    thanks!

  12. dimbeni
    • 3 years ago
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    ;-)

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

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

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

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

  17. xokatexo
    • 3 years ago
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    xoxx<3

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

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