# Math Help - Proofs

1. ## Proofs

Recall that the °oor of a real number x, i.e. [x], is defined to be the largest integer d such that d <= x

Proposition. For any real numbers x and y, [x + y] >= [x] + [y]

(a) Explain briefly why it's not true if you replace >= with =
(b) Prove that this claim is true.

2. a) Suppose that $x=1.9$ and $y=1.8$.