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Problem Solving (PS) | Re: If x < 0, which of the following is NOT necessarily true?

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HKD1710 wrote:

If\( x <0\) , which of the following is NOT necessarily true?

(A)\( x^2 + x^3 <0\)
(B)\( x^5 <x^2\)
(C)\( x^2 >0\)
(D)\( 1/x <0\)
(E)\( 1/x^2 >0\)


A) A bunch of ways to show this isn't necessarily true, but even if you can't spot any of those, process of elimination on the other answer choices is pretty easy.
B)\( - <+\) Always true. Eliminate.
C)\( + >0\) Always true. Eliminate.
D)\( - <0\) Always true. Eliminate.
E)\( + >0\) Always true. Eliminate.

Answer choice A.
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