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How many different values of integer n that satisfy the inequality |n-

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Joined: 29 Apr 2015
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How many different values of integer n that satisfy the inequality |n-  [#permalink]

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27 Jun 2015, 02:47
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Difficulty:

5% (low)

Question Stats:

77% (00:59) correct 23% (01:06) wrong based on 178 sessions

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How many different values of integer n that satisfy the inequality |n-15|≤2 are there?

A. 0
B. 2
C. 3
D. 4
E. 5

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Posts: 51101
Re: How many different values of integer n that satisfy the inequality |n-  [#permalink]

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27 Jun 2015, 02:51
1
reto wrote:
How many different values of integer n that satisfy the inequality |n-15|≤2 are there?

A. 0
B. 2
C. 3
D. 4
E. 5

|n - 15| ≤ 2;

-2 ≤ n - 15 ≤ 2;

13 ≤ n ≤ 17;

n can be 13, 14, 15, 16, and 17.

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Re: How many different values of integer n that satisfy the inequality |n-  [#permalink]

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23 Jul 2018, 07:33
1
reto wrote:
How many different values of integer n that satisfy the inequality |n-15|≤2 are there?

A. 0
B. 2
C. 3
D. 4
E. 5

Dear Moderator ,
Found this PS question , while going through the DS forum, Hope you will do the needful. Thank you.
_________________

- Stne

Math Expert
Joined: 02 Sep 2009
Posts: 51101
Re: How many different values of integer n that satisfy the inequality |n-  [#permalink]

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23 Jul 2018, 07:45
stne wrote:
reto wrote:
How many different values of integer n that satisfy the inequality |n-15|≤2 are there?

A. 0
B. 2
C. 3
D. 4
E. 5

Dear Moderator ,
Found this PS question , while going through the DS forum, Hope you will do the needful. Thank you.

________________
Done. Thank you.
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Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: How many different values of integer n that satisfy the inequality |n-  [#permalink]

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25 Jul 2018, 16:33
reto wrote:
How many different values of integer n that satisfy the inequality |n-15|≤2 are there?

A. 0
B. 2
C. 3
D. 4
E. 5

We can rewrite the inequality without the absolute value sign as follows:

-2 ≤ n - 15 ≤ 2

13 ≤ n ≤ 17

There are 5 integers from 13 to 17, inclusive, namely, 13, 14, 15, 16, and 17.

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Re: How many different values of integer n that satisfy the inequality |n- &nbs [#permalink] 25 Jul 2018, 16:33
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