To solve each inequality, we can follow the next steps:
[tex]x+2<6\Rightarrow x+2-2<6-2\Rightarrow x<4[/tex]
The other inequality is
[tex]\frac{x}{2}>3\Rightarrow2\cdot\frac{x}{2}>2\cdot3\Rightarrow x>6[/tex]
We can graph these two solutions as follows:
Or
Therefore, the solutions are for values less than four (but not equal to 4) and greater than 6 (but not equal to 6).
