<p>Each of the following inequalities is true for some values of x except
a) x<x^2<x^3
b) x<x^3<x^2
c) x^2<x^3<x
d)x^3<x<x^2
e) x^3<x^2<x</p>
<p>answer is C</p>
<p>I don't really understand the wording of this problem?</p>
<p>The problem is asking you which of the inequalities given cannot exist with any values of x. Since inequalities A, B, D, and E all make sense if you plug some of the numbers in, by default the answer is see.</p>
<p>
This is true for positive numbers besides those between 0 and 1.
For example, if x = 4, 4 < 16 < 64
This is true for negative numbers between -1 and 0.
For example, if x = -1/2, -1/2 < -1/8 < 1/4
This can never be true, so it is the answer.
This is true for all negative numbers besides those between -1 and 0.
For example, if x = -4, -64 < -4 < 16
This is true for positive numbers between 0 and 1.
For example, if x = 1/2, 1/8 < 1/4 < 1/2</p>
<p>Notice that all of the inequalities are true for SOME values of x except the inequality in (C), which is true for NO values of x.</p>
<p>Or you could just factor and save time…</p>
<p>ahh okay… guess i was lazy to do it all out + didn’t really understand. kthnx</p>
<p>@greedisgood
What is your factoring method? I don’t quite see how it would help.</p>