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anonymous

  • 5 years ago

|x-6| is less than or equal to -12. How do i solve this?

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  1. anonymous
    • 5 years ago
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    there are no solutions to this

  2. anonymous
    • 5 years ago
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    how can the absolute value less than or equal to a negative no?

  3. anonymous
    • 5 years ago
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    \[|x-6|\le -12\]

  4. anonymous
    • 5 years ago
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    Thats what it says, hahaha. Im as confused as you are!

  5. anonymous
    • 5 years ago
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    Recall that: \[|a| \le b \iff -b \le a \le b\] Therefore \[|x-6| \le -12 \implies 12 \le x-6 \le -12\] Which has no solutions, because nothing is both less than -12 and greater than 12.

  6. amistre64
    • 5 years ago
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    i assume that these problems are designed to test that you comprehend what is going on and not just simply trying to follow a mechanical step to get an answer. There are many illogical ways to put together a sentence in math; just as there is in speech

  7. anonymous
    • 5 years ago
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    It was just an empty set, haha. My bad!

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spraguer (Moderator)
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