If x is between 0 and 1, which of the following statements is (are) true?

Question

If x is between 0 and 1, which of the following statements is (are) true?

I. x^2>1

II. x^2>0

III. x^2>x

 

A. I only

B. II only

C. III only

D. I and II only

E. II and III only

Answer 1

Be sure to take examples:

    (1/2)² = 1/4

    (1/3)² = 1/9

 

So, is x² > 1 ?    no

      is x² > 0 ?  yes

      is x² > x ?   no

 

Now, choose A-E.