Is the statement [x]=[x+1] true for all real numbers? explain

The statement is not true for all real numbers. It is only true for decimal or fractional values of x.

If x is an integer, then the ceiling function returns x when the input is x. But, the flooring function returns x + 1 when the input is x + 1.

Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.

No becuase some statements could actually be equal