rakesh20j wrote:
If -1 < x < 0, which of the following must be true?
I. x^3 < x^2
II. x^5 < 1 – x
III. x^4 < x^2
A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II and III
We can see that x is a negative number between 0 and -1. Thus, x^odd = negative and x^even = positive. So, I is true.
Furthermore, 1 - x = 1 + |x|, which is positive, so it’s greater than x^5, which is negative. So, II is also true.
Lastly, when x is raised to an even integer power, the larger
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