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If x, y are points on the number line above, which of the following mu
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12 Jul 2017, 01:34
Question Stats:
79% (00:47) correct 21% (00:46) wrong based on 96 sessions
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Note: not drawn to scale. If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III Attachment:
20170712_1233.png [ 2.34 KiB  Viewed 1104 times ]
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If x, y are points on the number line above, which of the following mu
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Updated on: 12 Jul 2017, 02:56
Bunuel wrote: If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III Attachment: 20170712_1233.png Assuming this is not drawn to scale, answer should be D. Edit: To correct my mistake.
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Originally posted by jedit on 12 Jul 2017, 01:48.
Last edited by jedit on 12 Jul 2017, 02:56, edited 2 times in total.



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Re: If x, y are points on the number line above, which of the following mu
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12 Jul 2017, 01:51
jedit wrote: Bunuel wrote: If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III Attachment: 20170712_1233.png Assuming this is not drawn to scale, answer should be A. Hi jedit, Given y is positive and x is negative xy should be negative. So III must be true. Ans D Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app



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Re: If x, y are points on the number line above, which of the following mu
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12 Jul 2017, 03:15
Though the figure is not drawn to scale but it looks like x is negative and y is positive. We don't know anything about the spacing of these points and their distance from zero. So x*y<0 and xy<0
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Re: If x, y are points on the number line above, which of the following mu
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12 Jul 2017, 05:55
Bunuel wrote: Note: not drawn to scale. If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III Attachment: 20170712_1233.png x is negative and y is positive . y has a more distance from 0 than x has from 0. So, y > x I. xy < 0 II. x + y >0 III. x  y < 0 Answer D
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Re: If x, y are points on the number line above, which of the following mu
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13 Jul 2017, 05:27
Bunuel wrote: Note: not drawn to scale. If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III Let's plug in numbers x =1 & y=1 (but we need to consider other numbers if needed) I) xy = 1 * 1 = 1......( Any +ve number * Any ve number = ve number) II) x + y = 1 + 1 = 0..Eliminate II III) x – y = 1 1 =2 <0.......( Any ve number  Any +ve number = ve number) Answer: D



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Re: If x, y are points on the number line above, which of the following mu
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15 Jul 2017, 07:05
I. xy < 0 III. x – y < 0 satisfies the inequality for x<0 and y>0 So D



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Re: If x, y are points on the number line above, which of the following mu
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16 Jul 2017, 08:33
It should be D Take numbers x=1,y=2 Case:1 xy<0 1*2=2 satisfies Case:2 x+y<0 1+2=1 doesnot satisfies Case:3 xy<0 12=3 satisfies You can take anyother number as well



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Re: If x, y are points on the number line above, which of the following mu
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16 Jul 2017, 17:18
Bunuel wrote: Note: not drawn to scale. If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III We see that x is negative and y is positive. Let’s analyze each Roman numeral. I. xy < 0 Since x is negative and y is positive, xy < 0. Roman numeral I is true. II. x + y < 0 Because the figure is not drawn to scale, we cannot tell if the sum x + y will be negative, positive, or zero. Roman numeral II is not necessarily true. III. x – y < 0 Since x is negative and y is positive, x  y will always be less than zero. Roman numeral III is true. Answer: D
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Re: If x, y are points on the number line above, which of the following mu
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