If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2 Choose the correct choice from the following choices:
A) I only	B) None	C) II only	D) III only	E) II and III
(I) a &lt; b^2. Not necessarily true fractions: try a=1 and b=2.   (II) b − a &lt; c. Not necessarily true: try a=-1, b=0, and c=1.   (III) a^2 &lt; b^2 &lt; c^2. Not necessarily true: try a=-1, b=0, and c=1.   None of the options must be true.   Answer: None.
<result>B</result>
If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2