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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If x < y < –1, then which one of the following expressions is p

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Math Expert V
Joined: 02 Sep 2009
Posts: 59589
If x < y < –1, then which one of the following expressions is p  [#permalink]

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Difficulty:   5% (low)

Question Stats: 96% (00:39) correct 4% (00:40) wrong based on 55 sessions

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If $$x < y < –1$$, then which one of the following expressions is positive?

(A) $$–x^2$$

(B) $$y$$

(C) $$x^2y$$

(D) $$x^2y^2$$

(E) $$y – x^2$$

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Concentration: Accounting, Finance
GPA: 3.68
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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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Bunuel wrote:
If $$x < y < –1$$, then which one of the following expressions is positive?

(A) $$–x^2$$

(B) $$y$$

(C) $$x^2y$$

(D) $$x^2y^2$$

(E) $$y – x^2$$

x and y both are negative thus D is the correct answer.
Senior Manager  P
Joined: 13 Feb 2018
Posts: 480
GMAT 1: 640 Q48 V28 Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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$$x^2$$*$$y^2$$ will always be positive or zero, as we have the constraint in the stem we can exclude 0 from the results, leaving only positive

IMO
Ans: D
GMAT Club Legend  V
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Concentration: Sustainability, Marketing
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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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Bunuel wrote:
If $$x < y < –1$$, then which one of the following expressions is positive?

(A) $$–x^2$$

(B) $$y$$

(C) $$x^2y$$

(D) $$x^2y^2$$

(E) $$y – x^2$$

both x& y are -ve so test with all options
IMO D stands out
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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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Bunuel wrote:
If $$x < y < –1$$, then which one of the following expressions is positive?

(A) $$–x^2$$

(B) $$y$$

(C) $$x^2y$$

(D) $$x^2y^2$$

(E) $$y – x^2$$

We see that both x and y are negative; thus, x^2 * y^2 is always positive.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If x < y < –1, then which one of the following expressions is p   [#permalink] 07 Apr 2019, 18:26
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# If x < y < –1, then which one of the following expressions is p  