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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