I might be over complicating things a bit, or I just want to verify that this is correct.
two positive integers $m$ and $n$ such that $⌈(m+n)/12⌉ ≠ ⌈m/12⌉+⌈n/12⌉$, where $⌈⌉$ indicate the ceiling function.
Do I just need to find any 2 positive integers, 8 and 4, to plug into $m$ and $n$ so that when I divide by 12 I get $1$ and the ceiling of a whole number is that same whole number? Or is there an actual method to finding out the numbers for $m$ and $n$?