Answer
All real numbers are solutions.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 8(3g-2)\leq 12(2g+1)$
Use distributive property.
$\Rightarrow 24g-16\leq 24g+12$
Add $16$ to each side.
$\Rightarrow 24g-16+16\leq 24g+12+16$
Simplify.
$\Rightarrow 24g\leq 24g+28$
Subtract $24g$ from each side.
$\Rightarrow 24g-24g\leq 24g+28-24g$
Simplify.
$\Rightarrow 0\leq 28$
The inequality is true.
Hence, all real numbers are solutions.
