- #1
twoski
- 181
- 2
Homework Statement
Prove:
⌊−x⌋ = −⌈x⌉
⌈−x⌉ = −⌊x⌋ .
The Attempt at a Solution
Can i use the property ⌊x⌋ = n, x = n + m where 0 <= m < 1 or do i need to incorporate the negation into this property?
I think there would be 2 cases to this proof.
Case 1: m = 0, the lower bound.
Case 2: m = 1/2.
Case 3: m = 1, the upper bound.
I just don't know how i'd go about proving these cases.