algebra problem

Question

Is the following statement always true, sometimes true, or never true if we assume x is a real

number greater than 0: “The value of x^2 is at least as large as the value of x.” Show that your

answer is correct with mathematical evidence.

Answer 1

It is true for any real number greater than or equal to one. It is false when the real number is between zero and one. Example: .4 squared is .4•.4 = .16