Answer
$ a\leq 2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 3(2a-1)\geq 10a-11$
Use distributive property.
$\Rightarrow 6a-3\geq 10a-11$
Add $11$ to each side.
$\Rightarrow 6a-3+11\geq 10a-11+11$
Simplify.
$\Rightarrow 6a+8\geq 10a$
Subtract $6a$ from each side.
$\Rightarrow 6a+8-6a\geq 10a-6a$
Simplify.
$\Rightarrow 8\geq 4a$
Divide each side by $4$.
$\Rightarrow \frac{8}{4}\geq \frac{4a}{4}$
Simplify.
$\Rightarrow 2\geq a$
Hence, the solution is $ a\leq 2$.
Use a close circle because $2$ is a solution.
Shade the number line on the left side.
