Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of elements in the set {n 
Z :|n 2 - 10n + 19|< 6} is_______.
Text Solution
Verified by ExpertsThe correct answer is:
6
(6)
Given,
|n 2 -10n + 19| < 6
Now we know that,
|x|a 
-a < x < a
Now using above formula, we get,
-6 < n 2 - 10n + 19 < 6
n 2 -10n + 25 > 0 and n 2 - 10n + 13 < 0
(n-5) 2 > 0 and (n-(5 - 2 
)) (n-(5 + 2 
)) < 0
and n 
{2, 3,4, 5, 6, 7, 8}
Hence, n = 2, 3, 4, 6, 7, 8
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