Intermediate algebra, concepts and graphs

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How do I solve the absolute value of: (x-2)>1? I am completely lost and my homework online is saying I did it wrong. I came up with 3<x<1. Help!

  • Intermediate algebra, concepts and graphs -

    |x-2|>1
    +(x-2) > 1 or -(x-2) > 1
    x-2 > 1 or -x + 2 >1
    x > 3 or x < -1

    the key word here is OR
    and you forgot to reverse the inequality sign for one of the cases

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