If -3 < x < 0, which of the following must be true?
I. x^5 < x^2
II. x^5 < 5 – x^2
III. x^4 < x	Pick one:
A) I only	B) I and II only	C) I and III only	D) II and III only	E) I, II and III
I. x^5 &lt; x^2 --&gt; from -3 &lt; x &lt; 0 it follows that LHS&lt;0<rhs, --="" 1="" <="" ii.="" is="" so="" statement="" this="" true.="" x="" x^5="" –=""> x^2(x^3+1) &lt; 5 --&gt; positive*negative &lt; 0 &lt; 1, so this statement is also true.   III. x^4 &lt; x --&gt; since -3 &lt; x&lt; 0 means x is negative and x^4 would always be positive, then this statement is false   Answer: I and II only.</rhs,>
<result>B</result>
If -3 < x < 0, which of the following must be true?
I. x^5 < x^2
II. x^5 < 5 – x^2
III. x^4 < x