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Is x = |y - z|?

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Is x = |y - z|? [#permalink] New post 21 Sep 2010, 06:23
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Is x = |y - z|?

(1) x = y - z
(2) y > z
[Reveal] Spoiler: OA

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Re: Absolute value DS [#permalink] New post 21 Sep 2010, 06:36
Expert's post
rxs0005 wrote:
is x = | y - z | ?

x = y - z

y > z


Is x=|y-z|?

If y-z\geq{0} then the question becomes is x=y-z?
If y-z\leq{0} then the question becomes is x=-(y-z)?

Basically the question ask whether the distance between y and z on the number line equals to x. Note that x as it's equal to the distance (or to the absolute value) can not be negative.

(1) x=y-z, not sufficient, because we don't know whether y-z>\geq{0}.
(2) y-z>0 --> |y-z|=y-z, but still not sufficient as no info about x.

(1)+(2) From (1) x=y-z and from (2) |y-z|=y-z --> x=|y-z|=y-z. Sufficient.

Answer: C.

Similar questions:
ds-question-97761.html?hilit=similar%20question#p753020
abs-equation-from-gmatprep-84821.html
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Re: Absolute value DS [#permalink] New post 21 Sep 2010, 09:39
rxs0005 wrote:
is x = | y - z | ?

x = y - z

y > z


Since absolute value can't be negative, for x to be equal to |y - z|, x must be greater than or equal to 0.

(1) If y > z, then x is positive and x = |y - z| = y - z. However, if y < z, then x is negative and cannot be equal to the absolute value. Insufficient.

(2) This tells you nothing about x. Insufficient.

Together: Since y > z, we know that y - z > 0. Therefore |y - z| = y - z, and we know that x = y - z. Sufficient. (C).
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Is x = |y - z| ? [#permalink] New post 05 Jul 2013, 09:20
(1). x = y - z
(2). y > z

Can someone explain to me why (1) isn't sufficient?

Thanks!

Sourced from "Total GMAT Math"
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Re: Is x = |y - z| ? [#permalink] New post 05 Jul 2013, 09:27
Expert's post
WholeLottaLove wrote:
(1). x = y - z
(2). y > z

Can someone explain to me why (1) isn't sufficient?

Thanks!

Sourced from "Total GMAT Math"


Merging topics. Pleas refer to the solutions above.

Similar questions to practice:
is-a-b-c-1-c-a-b-2-a-97761.html
is-x-y-z-1-x-y-z-2-x-84821.html

Hope it helps.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Is x = |y - z|? [#permalink] New post 05 Jul 2013, 09:35
Hi,

So what you are saying is that the stem asks whether positive x (because its set to an absolute value) is = to y-z or z-y but #1 could allow for x to be a negative value? Thus making it insufficient?
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Re: Is x = |y - z|? [#permalink] New post 06 Jul 2013, 00:47
Expert's post
WholeLottaLove wrote:
Hi,

So what you are saying is that the stem asks whether positive x (because its set to an absolute value) is = to y-z or z-y but #1 could allow for x to be a negative value? Thus making it insufficient?


Yes. For (1) x could be negative (when y - z is negative). Now if x is negative it cannot equal to absolute value.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Is x = |y - z|?   [#permalink] 06 Jul 2013, 00:47
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