Which of the following statements is/are correct?

(A) |x| is continuous every where in its domain.
(B) |x| is differentiable every where in its domain.
(C) [x] is continuous at every integral point.
(D) [x] is discontinuous at every integral point.

Choose the correct answer from the options given below :

(A), (D) Only

(A), (D) are correct only

as |x| is not differentiable at x = 0

and [x] is not continuous for integral points.