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

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

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New post 02 Apr 2019, 04:18
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A
B
C
D
E

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  5% (low)

Question Stats:

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

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

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New post 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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Re: If x < y < –1, then which one of the following expressions is p  [#permalink]

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New post 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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New post 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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New post 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.

Answer: D
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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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