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

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Bunuel
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How many different values of integer n that satisfy the inequality |n- [#permalink] New post   13 May 2021, 02:15
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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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E
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Bunuel
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Re: How many different values of integer n that satisfy the inequality |n- [#permalink] New post   16 May 2021, 06:00
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Bunuel 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.

Answer: E.
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Re: How many different values of integer n that satisfy the inequality |n- [#permalink] New post   13 May 2021, 03:19
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Bunuel 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


Given, |n - 15| ≤ 2
i.e. -2 ≤ n - 15 ≤ 2
i.e. -2+15 ≤ n ≤ 2+15

i.e. 13≤ n ≤ 17

n may be {13, 14, 15, 16, 17} i.e. 5 Values

Answer: Option E
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Re: How many different values of integer n that satisfy the inequality |n- [#permalink] New post   16 May 2021, 07:04
Asked: How many different values of integer n that satisfy the inequality |n - 15| ≤ 2 are there?

|n-15| ≤ 2
13 ≤ n ≤ 17

n = {13,14,15,16,17} : 5 values

IMO E
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Re: How many different values of integer n that satisfy the inequality |n- [#permalink] New post   24 May 2021, 21:15
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To find
    • The number of values of integer n that satisfy the inequality |n - 15| ≤ 2

Approach and Working out:
    • |n-15| ≤ 2
      o -2 ≤ n-15 ≤ 2
      o Adding 15 on all the sides of the inequality, we get: 13 ≤ n ≤ 17
      o Thus, the values of n are: 13, 14, 15, 16, and 17.

n has 5 values.


Hence, option E is the correct answer.
Correct Answer: Option E
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gmatclubot
Re: How many different values of integer n that satisfy the inequality |n- [#permalink]
24 May 2021, 21:15
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