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Re: If x < 0 and 0 < y < 1, which of the following has the greatest value?
[#permalink]
10 Dec 2024, 12:52
Expert Reply
We know $−1<x<0$; we need to check that which of the given options is greatest.
As x is negative the value of $\mathrm{x}^{\text {odd$ will also be negative and also as x lies between -1 and 0 , the higher odd power will result in higher negative value.
Out of the given options (A) \& (B) will be negative so cannot be the greatest, so the comparison remains among the remaining three options.
We know $x3>x$but$−x3<−x⇒1−x3<1−x$, so option (C) is greater than option (D).
Finally we need to compare option (C) with option (E).
$x4>x$ but $−x4<−x⇒1−x4<1−x$ which means $1−x$ is the greatest.
Hence the answer is (C).
gmatclubot
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]