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Math Help - Absolute value rule

  1. #1
    Senior Member Stroodle's Avatar
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    Absolute value rule

    Hi, could someone please explain to me the reasoning behind the following rule.

    If \;a\geq 0,\;\lvert x-k\rvert\leq a\;is\;equivalent\;to\;k-a\leq x\leq k+a

    I'm only just starting to learn absolute values.

    Thanks
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  2. #2
    MHF Contributor
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    Talking

    Quote Originally Posted by Stroodle View Post
    Hi, could someone please explain to me the reasoning behind the following rule.

    If \;a\geq 0,\;\lvert x-k\rvert\leq a\;is\;equivalent\;to\;k-a\leq x\leq k+a
    For an illustrated explanation, try here.
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  3. #3
    Senior Member Stroodle's Avatar
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    Awesome. That's was really simple to understand. Just what I needed
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