For the numbers on the number line above, which of the follo : GMAT Problem Solving (PS)
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For the numbers on the number line above, which of the follo

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Joined: 27 Feb 2012
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For the numbers on the number line above, which of the follo [#permalink]

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10 Feb 2013, 00:43
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For the numbers on the number line above, which of the following statements is true?

A. x + y > y
B. xz > xy
C. tz < z
D. m^u < 0
E. t^m > 0
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Feb 2013, 00:53, edited 1 time in total.
Renamed the topic, edited the question and moved to PS forum.
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Re: For the numbers on the number line above, which of the follo [#permalink]

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10 Feb 2013, 01:03
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For the numbers on the number line above, which of the following statements is true?

Analyze each option:

A. x + y > y --> x > 0. Not true as per diagram x < 0.

B. xz > xy --> reduce by negative x and flip sign: z < y. Not true.

C. tz < z --> reduce by positive z: t < 1. Not true.

D. m^u < 0 --> m^u = (-1)^2 = 1 > 0. Hence, this statement is also not true.

E. t^m > 0. By POE this must be true. To elaborate: t^m = (positive)^(negative) = positive.

Hope its clear.
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Joined: 27 Feb 2012
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Kudos [?]: 21 [0], given: 5

Re: For the numbers on the number line above, which of the follo [#permalink]

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19 Feb 2013, 21:39
Bunuel wrote:

For the numbers on the number line above, which of the following statements is true?

Analyze each option:

A. x + y > y --> x > 0. Not true as per diagram x < 0.

B. xz > xy --> reduce by negative x and flip sign: z < y. Not true.

C. tz < z --> reduce by positive z: t < 1. Not true.

D. m^u < 0 --> m^u = (-1)^2 = 1 > 0. Hence, this statement is also not true.

E. t^m > 0. By POE this must be true. To elaborate: t^m = (positive)^(negative) = positive.

Hope its clear.

At first didn't get why B was not correct but when i took another look at what the Diagram is giving us, then it is clear why we divide by -x
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Re: For the numbers on the number line above, which of the follo [#permalink]

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04 Aug 2014, 05:54
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Re: For the numbers on the number line above, which of the follo   [#permalink] 04 Aug 2014, 05:54
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