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# For the numbers on the number line above, which of the follo

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Intern
Joined: 27 Feb 2012
Posts: 35
For the numbers on the number line above, which of the follo  [#permalink]

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Updated on: 10 Feb 2013, 01:53
00:00

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15% (low)

Question Stats:

80% (01:40) correct 20% (01:47) wrong based on 283 sessions

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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

Originally posted by jsphcal on 10 Feb 2013, 01:43.
Last edited by Bunuel on 10 Feb 2013, 01:53, edited 1 time in total.
Renamed the topic, edited the question and moved to PS forum.
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Joined: 02 Sep 2009
Posts: 55670
Re: For the numbers on the number line above, which of the follo  [#permalink]

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10 Feb 2013, 02:03
1
1

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

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19 Feb 2013, 22:39
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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13 Sep 2018, 22:50
Hi,

Let's analyze each option

A. x + y > y
So x>y-y
Is x>0 NO

B. xz > xy
xz-xy>0
x(z-y)>0

-ve( +ve - (-ve))>)
-ve(+ve+ve)
So-ve
No it will be negative or < 0, since x is negative

C. tz < z

tz-z<0
z(t-1)<0
No it will be >0

D. m^u < 0
$$(-1)^2$$>0
NO

E. t^m > 0

Yes

Probus
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Re: For the numbers on the number line above, which of the follo   [#permalink] 13 Sep 2018, 22:50
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