If 1< x < 2, which of the following must be true?
I. x^3 < x^2
II. x^2 < 2 + x
III. x^2 < x^4	Select the correct option:
A) I only
B) I and II only
C) III only
D) I and III only
E) I, II and III
I. x^3 &lt; x^2 --&gt; for values greater than 1 x^3 &gt; x^2, so this statement is false.   II. x^2 &lt; 2 + x --&gt; x(x-1) &lt; 2 --&gt; 2*(2-1)= 2 !&lt; 2, so this statement is also false.   III. x^2 &lt; x^4 --&gt; for values of x between 1 and 2 x^2&lt; x^4, so this statement is true.   Answer: III only.
<result>C</result>
If 1< x < 2, which of the following must be true?
I. x^3 < x^2
II. x^2 < 2 + x
III. x^2 < x^4