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 If $\lceil x\rceil+\lfloor x\rfloor+x=4.8$, solve for $x$.

 Aug 29, 2021
 #1
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x = 2.8

 Aug 29, 2021
 #2
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let

\(x=Z+\delta\qquad \text{where Z is an integer and }0\le\delta<1\)

 

\(\lceil x \rceil+\lfloor x \rfloor + x = Z+1+Z+Z+\delta\\ 3Z+\delta+1=4.8\)

 

and you can finish it.   Remember that Z is an integer and delta is between 0 and 1

 Aug 29, 2021

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