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How many different values of integer...

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by BTGmoderatorLU » Wed Oct 25, 2017 3:42 pm
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

The OA is E.

I don't understand it. Can any expert help me with this DS question please? Thanks.
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by Jay@ManhattanReview » Wed Oct 25, 2017 9:09 pm
LUANDATO 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

The OA is E.

I don't understand it. Can any expert help me with this DS question please? Thanks.
|n-15| ≤ 2 => n - 15 ≤ 2 or n - 15 ≥ -2

1. n - 15 ≤ 2 => n ≤ 17
2. n - 15 ≥ -2 => n ≥ 13

Thus, 13 ≤ n ≤ 17 => There are five integer values for n: 13, 14, 15, 16, and 17.

The correct answer: E

Hope this helps!

-Jay

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by GMATGuruNY » Thu Oct 26, 2017 2:53 am
LUANDATO 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
|a-b| = the distance between a and b on the number line.

Given inequality:
|n-15|≤2
Translated into words:
The distance between n and 15 is less than or equal to 2.
Put another way:
On the number line, n can be up to 2 places away from 15.
------13-----15-----17------
Since n can be any value within the green range, there are 5 options for n:
13, 14, 15, 16, 17.

The correct answer is E.
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