Respuesta :

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.