We, somehow, tried to use the next identity:

Question

-[k+1 / 2] = [-k+1 / 2]
Is this result true or false? If it is true, prove it; if it is false, provide the actual value of the righthand side that makes the identity true. Hint: you can try some numerical values to see how the
equations works.

Answer 1

If you meant
-(k+1)/2 = (-k+1)/2
that is certainly not true, because it's the same as
-(k+1) = -k+1
-k-1 = -k+1
-1 = 1

same holds if you just meant
-(k + 1/2) = -k + 1/2

Answer 2

Thank you.