Author 
Message 
TAGS:


GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
WE: Business Development (Energy and Utilities)
Followers: 112
Kudos [?]:
1865
[3]
, given: 397

X is the set of all integers n that satisfy [#permalink]
12 Jan 2016, 23:29
3
This post received KUDOS
Question Stats:
49% (00:38) correct
50% (00:46) wrong based on 75 sessions
X is the set of all integers n that satisfy the inequality \(2 \leq n \leq 5.\)
Quantity A 
Quantity B 
The absolute value of the greatest integer in X 
The absolute value of the least integer in X 
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. Practice Questions Question: 7 Page:331 Difficulty: easy
_________________
Sandy If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test




GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
WE: Business Development (Energy and Utilities)
Followers: 112
Kudos [?]:
1865
[0], given: 397

Re: X is the set of all integers n that satisfy [#permalink]
13 Jan 2016, 00:05
SolutionWhen comparing these quantities, it is important to remember that a nonzero number and its negative have the same absolute value. For example, ⎪−2⎪=⎪2⎪=2. Keeping this in mind, you can see that the positive integers 2, 3, 4, and 5 and the negative integers −2, −3, −4, and −5 all satisfy the inequalities 2 ≤ ⎪n⎪ ≤ 5, and that these are the only such integers. Thus, the set X consists of the integers −5, −4, −3, −2, 2, 3, 4, and 5. The greatest of these integers is 5, and its absolute value is 5. The least of these integers is −5, and its absolute value is also 5. Therefore, Quantity A is equal to Quantity B. The correct answer is Choice C.
_________________
Sandy If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test



GRE Instructor
Joined: 10 Apr 2015
Posts: 1795
Followers: 58
Kudos [?]:
1681
[2]
, given: 8

Re: X is the set of all integers n that satisfy [#permalink]
11 Oct 2017, 12:56
2
This post received KUDOS
sandy wrote: X is the set of all integers n that satisfy the inequality \(2 \leq n \leq 5.\)
Quantity A 
Quantity B 
The absolute value of the greatest integer in X 
The absolute value of the least integer in X 
We're told that n is an INTEGER Given: 2 ≤ n ≤ 5 First recognize that n = 2, n = 3, n = 4 and n = 5 all satisfy the given inequality. Next notice that some NEGATIVE values work too. For example, 2 = 2, so it's true that 2 ≤ 2 ≤ 5. So, x = 2 is a possible solution Likewise, 3 = 3, so it's true that 2 ≤ 3 ≤ 5. So, x = 3 is a possible solution And 4 = 4, so it's true that 2 ≤ 4 ≤ 5. So, x = 4 is a possible solution And 5 = 5, so it's true that 2 ≤ 5 ≤ 5. So, x = 5 is a possible solution Set X = { 5, 4, 3, 2, 2, 3, 4, 5} Quantity A: The absolute value of the greatest integer in X Quantity B: The absolute value of the least integer in X The GREATEST integer = 5The LEAST integer = 5So, we get: Quantity A:  5 Quantity B:  5 Evaluate to get: Quantity A: 5 Quantity B: 5 Answer: Cheers, Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails



Intern
Joined: 11 Jan 2018
Posts: 44
Followers: 0
Kudos [?]:
36
[0], given: 7

Re: X is the set of all integers n that satisfy [#permalink]
28 Feb 2018, 14:21
It do not require any sort of calculations. Just mental work Set x = {5, 4, 3, 2, 2, 3, 4, 5} Now, absolute value of greatest and least is same i.e 5. Thus, choice C correct.
_________________
Persistence >>>>>>> Success
Don't say thanks, just give KUDOS. 1 kudos = 1000 Thanks



Intern
Joined: 13 Nov 2018
Posts: 11
Followers: 0
Kudos [?]:
3
[0], given: 7

Re: X is the set of all integers n that satisfy [#permalink]
29 Nov 2018, 07:40
@sandy
I need a little understanding. If we take the values seperately e.g the equation can also be translated to n≤5 & 2≤n then n≤5 or 5≤n & n≤2 or 2≤n If we look at the underline set of values, it shows thaat n can be anything greater then/equal to 5 and lesser than/equal to 2. I got answer d. Can you please tell me what i am doing wrong? Thanks!!



Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 5
Kudos [?]:
111
[0], given: 4

Re: X is the set of all integers n that satisfy [#permalink]
29 Nov 2018, 08:45
sandy wrote: X is the set of all integers n that satisfy the inequality \(2 \leq n \leq 5.\)
Quantity A 
Quantity B 
The absolute value of the greatest integer in X 
The absolute value of the least integer in X 
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. Practice Questions Question: 7 Page:331 Difficulty: easy \(2 \leq n \leq 5.\)... so n can be 2, 3, 4, 5.. so n = 5, 4, 3, 2, 2, 3, 4, 5 thus the greatest integer will be 5 and 5 = 5 and the smallest integer will be 5 and 5=5 thus both are equal C
_________________
Some useful Theory. 1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressionsarithmeticgeometricandharmonic11574.html#p27048 2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effectsofarithmeticoperationsonfractions11573.html?sid=d570445335a783891cd4d48a17db9825 3. Remainders : https://greprepclub.com/forum/remainderswhatyoushouldknow11524.html 4. Number properties : https://greprepclub.com/forum/numberpropertyallyourequire11518.html 5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolutemodulusabetterunderstanding11281.html



Intern
Joined: 13 Nov 2018
Posts: 11
Followers: 0
Kudos [?]:
3
[0], given: 7

Re: X is the set of all integers n that satisfy [#permalink]
01 Dec 2018, 06:35
Can i get a link where i can practice similar questions like this?



Founder
Joined: 18 Apr 2015
Posts: 6631
Followers: 107
Kudos [?]:
1274
[0], given: 6002

Re: X is the set of all integers n that satisfy [#permalink]
01 Dec 2018, 07:26
Click on the tags upon every question Attachment:
shot26.jpg [ 42.92 KiB  Viewed 1268 times ]
You will have similar questions. Like this, similar question with the tag absolute value/module https://greprepclub.com/forum/search.ph ... tag_id=234Hope this helps. Regards
_________________
Get the 2 FREE GREPrepclub Tests



GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
WE: Business Development (Energy and Utilities)
Followers: 112
Kudos [?]:
1865
[1]
, given: 397

Re: X is the set of all integers n that satisfy [#permalink]
01 Dec 2018, 14:26
1
This post received KUDOS
asfandiar wrote: Can i get a link where i can practice similar questions like this? See the Tags right above the author there you can click on the tags to get to that collection of questions For example the Tag inequality is the following link: https://greprepclub.com/forum/search.php?search_id=tag&tag_id=18&sid=2cc57b3cc9a16dd7273145e1c4f4db2d
_________________
Sandy If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test




Re: X is the set of all integers n that satisfy
[#permalink]
01 Dec 2018, 14:26





