Answer
The correct graph is $B.$
Work Step by Step
The given inequality is
$\Rightarrow 7b-4\leq 10$
Add $4$ to each side.
$\Rightarrow 7b-4+4\leq 10+4$
Simplify.
$\Rightarrow 7b\leq 14$
Divide each side by $7$.
$\Rightarrow \frac{7b}{7}\leq \frac{14}{7}$
Simplify.
$\Rightarrow b\leq 2$
The solution is $ b\leq 2$.
Use a close circle because $2$ is a solution.
Shade the number line on the left side.
Hence, the correct graph is $B.$
