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If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which on

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If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which on  [#permalink]

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Updated on: 22 Jul 2019, 06:41
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If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which one of the following is true?

(A) a > 0
(B) b < 0
(C) a > b
(D) |a| < |b|
(E) a + b < 0

Source: Nova GMAT
Difficulty Level: 600

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Originally posted by Bunuel on 09 Apr 2019, 03:11.
Last edited by SajjadAhmad on 22 Jul 2019, 06:41, edited 1 time in total.
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Re: If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which on  [#permalink]

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09 Apr 2019, 03:19
Bunuel wrote:
If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which one of the following is true?

(A) a > 0
(B) b < 0
(C) a > b
(D) |a| < |b|
(E) a + b < 0

a=-ve and b= +ve
and |a| – |b| > 0
always true would be a + b < 0
IMO E
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Re: If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which on  [#permalink]

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10 Apr 2019, 18:04
Bunuel wrote:
If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which one of the following is true?

(A) a > 0
(B) b < 0
(C) a > b
(D) |a| < |b|
(E) a + b < 0

Since (a, b) is in Quadrant II, we see that a is negative and b is positive.

Since |a| – |b| > 0, we can let a be -4 and b be 2; thus, we see that only choice E is true.

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Re: If the point (a, b) is in Quadrant II and |a| – |b| > 0, then which on   [#permalink] 10 Apr 2019, 18:04
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