Answer
No solution.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 4(\frac{1}{2}t-2)\gt 2(t-3)$
Use distributive property.
$\Rightarrow 2t-8\gt 2t-6$
Add $8$ to each side.
$\Rightarrow 2t-8+8\gt 2t-6+8$
Simplify.
$\Rightarrow 2t\gt 2t+2$
Subtract $2t$ from each side.
$\Rightarrow 2t-2t\gt 2t+2-2t$
Simplify.
$\Rightarrow 0\gt 2$
The inequality is false.
Hence, there is no solution.
