Answer :

We have the expression:

[tex]\frac{x}{4}+6>8[/tex]

In order to solve it, we proceed as follows:

[tex]\frac{x}{4}+6-6>8-6=\frac{x}{4}>2[/tex]

Then:

[tex]\Rightarrow\frac{x}{4}\cdot4>2\cdot4=x>8[/tex]

From this, we have that the solution to the inequality is:

[tex]x>8[/tex]

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