Answer
All real numbers are solutions.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 4(3h+1.5)\geq 6(2h-2)$
Use distributive property.
$\Rightarrow 12h+6\geq 12h-12$
Add $12$ to each side.
$\Rightarrow 12h+6+12\geq 12h-12+12$
Simplify.
$\Rightarrow 12h+18\geq 12h$
Subtract $12h$ from each side.
$\Rightarrow 12h+18-12h\geq 12h-12h$
Simplify.
$\Rightarrow 18\geq 0$
The inequality is true.
Hence, all real numbers are solutions.
