Discrete Mathmatics Homework

Question

If k is an integer, what is ⌈k + 1/2]?

Answer 1

if k>0 then

ceiling of k+1/2 is k+1

floor of k+1/2 is k

if k<0 then

ceiling of k+1/2 is k

floor of k+1/2 is k-1

if k=0, then ceiling of 1/2 is 1 and floor of 1/2 is 0