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# If x < y < –1, then which one of the following expressions is p

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

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02 Apr 2019, 04:18
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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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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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02 Apr 2019, 04:23
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.
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Joined: 13 Feb 2018
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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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02 Apr 2019, 07:28
$$x^2$$*$$y^2$$ 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
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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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03 Apr 2019, 05:50
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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07 Apr 2019, 18:26
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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Re: If x < y < –1, then which one of the following expressions is p   [#permalink] 07 Apr 2019, 18:26
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