anonymous
  • anonymous
|x-6| is less than or equal to -12. How do i solve this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
there are no solutions to this
anonymous
  • anonymous
how can the absolute value less than or equal to a negative no?
anonymous
  • anonymous
\[|x-6|\le -12\]

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anonymous
  • anonymous
Thats what it says, hahaha. Im as confused as you are!
anonymous
  • anonymous
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.
amistre64
  • amistre64
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
anonymous
  • anonymous
It was just an empty set, haha. My bad!

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