Question

Please answer my question range of [x}+{-x]

Answer 1

Answer:

-1

Step-by-step explanation:

Assuming $[x]$ is a floor function.

$n_1\leq x<n_1+1$ ($n_1$ is an integer.)

$[x]=n_1$

Then, $-n_1-1<-x\leq n_1$

$[-x]=-n_1-1$

$[x]+[-x]=n_1-n_1-1=-1$

∴ Maximum $-1$

If $x$ is an integer $n_2$,

$[x]+[-x]=n_2-n_2=0$

∴ Minimum 0