Answer
No solution.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 6(2x-1)\geq 3(4x+1)$
Use distributive property.
$\Rightarrow 12x-6\geq 12x+3$
Add $6$ to each side.
$\Rightarrow 12x-6+6\geq 12x+3+6$
Simplify.
$\Rightarrow 12x\geq 12x+9$
Subtract $12x$ from each side.
$\Rightarrow 12x-12x\geq 12x+9-12x$
Simplify.
$\Rightarrow 0\geq 9$
The inequality is false.
Hence, there is no solution.
