Question

Is the statement x={x+1} true for all real numbers? Explain.

Answer 1

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.

Step-by-step explanation: This is what you answers should include.

Answer 2

Explanation:

It is not true for any real number.

Subtract x from both sides to get 0=1, a contradiction.