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If |y-1/2| < 11/2, which of the following could be a value [#permalink]
 06 Aug 2012, 02:49
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83% (01:46) correct
16% (01:01) wrong based on 12 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf |y-\frac{1}{2}| < \frac{11}{2}, which of the following could be a value of y? (A) -11 (B) -11/2 (C) 11/2 (D) 11 (E) 22 Practice Questions
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
06 Aug 2012, 02:50
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
06 Aug 2012, 09:59
well, here are 2 methods - lets just check answers,beginning with ans C |11/2- (1/2)| <11/2 yes,of course, since u subtract from the number 11/2 some portion. method 2- |y-1/2| < 11/2 if y>1/2, then y-1/2 < 11/2 y<6 , so ,we need some number between 1/2 and 6 if y<1/2, then 1/2- y<11/2 , y>6 reject it,since it contradicts with y<1/2 so, now lets check all answer choices and find the answer between 1/2 and 6 btw, do u post 700+ OG13 questions? havent seen them.
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
06 Aug 2012, 10:33
LalaB wrote: well, here are 2 methods -
lets just check answers,beginning with ans C
|11/2- (1/2)| <11/2 yes,of course, since u subtract from the number 11/2 some portion.
method 2-
|y-1/2| < 11/2
if y>1/2, then y-1/2 < 11/2 y<6 , so ,we need some number between 1/2 and 6
if y<1/2, then 1/2- y<11/2 , y>6 reject it,since it contradicts with y<1/2
so, now lets check all answer choices and find the answer between 1/2 and 6
btw, do u post 700+ OG13 questions? havent seen them. If y<1/2, then 1/2-y<11/2 ie 1/2-11/2 <y, ie -5<y. so y lies between -5<y<1/2. Am I correct???
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
06 Aug 2012, 10:39
SOURH7WK, yep, u r correct. it is a typo.forgive me all my sins, or only poor computing skills ))
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
06 Aug 2012, 19:54
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Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf |y-\frac{1}{2}| < \frac{11}{2}, which of the following could be a value of y? (A) -11 (B) -11/2 (C) 11/2 (D) 11 (E) 22 An Easy way for this type of Problem is as follows When ever you see an in equality with modulus remember these two formulas 1.) |x-b| < c .................This always means that ............ -c+b < x < c +b
2.) |x-b| < c ................. This always means that .......... Either x < -c+b .................... or x > c+b Use this here and see.
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
07 Aug 2012, 10:50
We have to see how far the value of y is on the number line
so basically, what we have here is
The distance of y from 1/2 is< 5.5
so it could be from 5 to 6.
hence answer is C
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
10 Aug 2012, 04:09
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
14 Dec 2012, 08:53
Why is
|y-1/2| < 11/2 equivalent to -11/2 < |y-1/2| < 11/2
Why am I not seeing this and why didn´t I come up with it?
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
14 Dec 2012, 09:08
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
16 Dec 2012, 07:26
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Bunuel wrote: SOLUTION
If |y-\frac{1}{2}| < \frac{11}{2}, which of the following could be a value of y?
(A) -11
(B) -11/2
(C) 11/2
(D) 11
(E) 22
|y-\frac{1}{2}| < \frac{11}{2}, is equivalent to -\frac{11}{2}<y-\frac{1}{2}< \frac{11}{2}.
Add \frac{1}{2} to each part of the inequality: -\frac{11}{2}+\frac{1}{2}<y< \frac{11}{2}+\frac{1}{2} --> 5<y<6. Only answer C is from this range.
Answer: C. I might sound stupid but I really could not understand why -\frac{11}{2}+\frac{1}{2}<y< \frac{11}{2}+\frac{1}{2} results in 5<y<6, should not it be -5<y<6
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
16 Dec 2012, 07:33
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Drik wrote: Bunuel wrote: SOLUTION
If |y-\frac{1}{2}| < \frac{11}{2}, which of the following could be a value of y?
(A) -11
(B) -11/2
(C) 11/2
(D) 11
(E) 22
|y-\frac{1}{2}| < \frac{11}{2}, is equivalent to -\frac{11}{2}<y-\frac{1}{2}< \frac{11}{2}.
Add \frac{1}{2} to each part of the inequality: -\frac{11}{2}+\frac{1}{2}<y< \frac{11}{2}+\frac{1}{2} --> 5<y<6. Only answer C is from this range.
Answer: C. I might sound stupid but I really could not understand why -\frac{11}{2}+\frac{1}{2}<y< \frac{11}{2}+\frac{1}{2} results in 5<y<6, should not it be -5<y<6 Yes it should. Typo edited. Thank you. +1.
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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. NEW!!!
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. NEW!!!
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
16 Dec 2012, 08:15
Bunuel wrote: Drik wrote: Bunuel wrote: SOLUTION
If |y-\frac{1}{2}| < \frac{11}{2}, which of the following could be a value of y?
(A) -11
(B) -11/2
(C) 11/2
(D) 11
(E) 22
|y-\frac{1}{2}| < \frac{11}{2}, is equivalent to -\frac{11}{2}<y-\frac{1}{2}< \frac{11}{2}.
Add \frac{1}{2} to each part of the inequality: -\frac{11}{2}+\frac{1}{2}<y< \frac{11}{2}+\frac{1}{2} --> 5<y<6. Only answer C is from this range.
Answer: C. I might sound stupid but I really could not understand why -\frac{11}{2}+\frac{1}{2}<y< \frac{11}{2}+\frac{1}{2} results in 5<y<6, should not it be -5<y<6 Yes it should. Typo edited. Thank you. +1. Thanks Bunnel for such a valuable reply..and +1 for you as well I was wondering, if the equation stands at -5<y<6, should not it be that both B & C are right.. Thanks
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
16 Dec 2012, 08:49
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
16 Dec 2012, 10:36
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The inequality becomes:
-11/2 < y-1/2 < +11/2
Hence, 1/2 has to be added to each inequality:
-11/2 + 1/2 = -5
11/2 + 1/2 = 6
After simplifying, we get:
-5< y < 6
The only option that lies between -5 and 6 is 11/2, which when simplified is 5.5
Thus, the answer has to be C.
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
16 Dec 2012, 10:50
Thanks to you all
+1 to Karanamin
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Re: If |y-1/2| < 11/2, which of the following could be a value [#permalink]
18 Dec 2012, 01:56
Ans: the first case gives us y<6 and the second case gives –(y-1/2)<11/2 so y >-5 only option c falls in the range of -5<y<6 answer (C).
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Re: If |y-1/2| < 11/2, which of the following could be a value
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18 Dec 2012, 01:56
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