Does the following equation has a solution?
\[\large \lceil x \rceil + \lceil 2x \rceil = 16 \]
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)
\(\lceil 2x \rceil\) may not be equal to \(2 \lceil x \rceil\). But indeed, this equation has no solutions.