Hence, when [tex]n=10[/tex] the given inequality is true.
What is the inequality?
An inequality is said to be sharp if it cannot be relaxed and still be valid in general.
Here given that,
Which integer will make the inequality [tex]2(n + 2) < 5(n -1)[/tex] true.
So,
[tex]2(n + 2) < 5(n-1)[/tex]
When
[tex]n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45[/tex]
Hence, when [tex]n=10[/tex] the given inequality is true.
To know more about the inequality
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