Consider the function $$f(x) = |x-2| + |x-5|, x \in R$$. Statement 1: $$f'(4) = 0$$. Statement 2: $$f$$ is continuous in $$[2, 5]$$, differentiable in $$(2, 5)$$ and $$f(2) = f(5)$$.

A

Statement 1 is false, statement 2 is true

B

Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1

C

Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

D

Statement 1 is true, statement 2 is false