GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Jan 2019, 16:38

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

# How many different integer solutions are there for the inequality |n-1

Author Message
TAGS:

### Hide Tags

Intern
Joined: 03 Feb 2017
Posts: 25
How many different integer solutions are there for the inequality |n-1  [#permalink]

### Show Tags

10 Feb 2017, 02:51
4
00:00

Difficulty:

5% (low)

Question Stats:

78% (01:00) correct 22% (01:12) wrong based on 229 sessions

### HideShow timer Statistics

How many different integer solutions are there for the inequality |n-17|≤3 ?

A 0
B 2
C 5
D 6
E 7
Intern
Joined: 03 Feb 2017
Posts: 25
Re: How many different integer solutions are there for the inequality |n-1  [#permalink]

### Show Tags

10 Feb 2017, 02:56
1
First scenario:
n-17 ≤ 3
n ≤ 20

Second scenario:
n-17 ≥ -3
n ≥ 14

Thus n is an integer between 14 and 20 inclusive. Therefore, there are seven possible values for n: 14, 15, 16, 17, 18, 19, 20.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: How many different integer solutions are there for the inequality |n-1  [#permalink]

### Show Tags

15 Feb 2017, 09:45
onamarif wrote:
How many different integer solutions are there for the inequality |n-17|≤3 ?

A 0
B 2
C 5
D 6
E 7

To determine the number of solutions for |n-17| ≤ 3, we need to solve the inequality without the absolute value sign. Recall that without the absolute value sign, the expression (n - 17) can be either positive or negative. Let’s start with (n - 17) being positive:

n - 17 ≤ 3

n ≤ 20

Now we can solve the inequality when (n - 17) is negative:

-(n - 17) ≤ 3

-n + 17 ≤ 3

-n ≤ -14

n ≥ 14

Thus, 14 ≤ n ≤ 20, so there are 20 - 14 + 1 = 7 possible integer solutions.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Joined: 30 Jun 2014
Posts: 27
How many different integer solutions are there for the inequality |n-1  [#permalink]

### Show Tags

20 Feb 2017, 03:33
Remove the modulus sign as follows :
-3<= (n-17) <=3

So, basically we need the count of values from -3 to 3 both inclusive and that's 7.
How many different integer solutions are there for the inequality |n-1 &nbs [#permalink] 20 Feb 2017, 03:33
Display posts from previous: Sort by

# How many different integer solutions are there for the inequality |n-1

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.