Answer:
x > 2
Step-by-step explanation:
Given
4x + [tex]\frac{1}{2}[/tex](2x + 4) > 12 ← distribute and simplify left side
4x + x + 2 > 12
5x + 2 > 12 ( subtract 2 from both sides )
5x > 10 ( divide both sides by 5 )