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Does the following equation has a solution?

\[\large  \lceil x \rceil + \lceil 2x \rceil = 16 \]

 Jan 18, 2021
 #1
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Nope

 

5 - 5+10 does not equal 15

6 - 6+12 does not equal 16

anything in between - 6+ either 10 or 11 (doesnt matter does not equal 16)

 Jan 19, 2021
 #2
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\(\lceil 2x \rceil\) may not be equal to \(2 \lceil x \rceil\). But indeed, this equation has no solutions.

MaxWong  Jan 19, 2021
edited by MaxWong  Jan 19, 2021

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