Answer
The solution is $ x\leq -5$.
Work Step by Step
The given inequality is
$\Rightarrow 6x+1\leq 4x-9$
Add $-4x-1$ to each side.
$\Rightarrow 6x+1-4x-1\leq 4x-9-4x-1$
Simplify.
$\Rightarrow 2x\leq -10$
Divide each side by $2$.
$\Rightarrow \frac{2x}{2}\leq -\frac{10}{2}$
Simplify.
$\Rightarrow x\leq -5$
Hence, the solution is $ x\leq -5$.
