+0

-1
113
2
+41

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

Aug 29, 2021

#1
0

x = 2.8

Aug 29, 2021
#2
+115733
+2

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