Given:
The inequality is
[tex]2n+8>12[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]2n+8>12[/tex]
Subtract 8 from both sides.
[tex]2n+8-8>12-8[/tex]
[tex]2n>4[/tex]
Divide both sides by 2.
[tex]\dfrac{2n}{2}>\dfrac{4}{2}[/tex]
[tex]n>2[/tex]
It means, the value of n is greater than 2.
Therefore, the solution of given inequality is n > 2.