Answer
$ b\lt 2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 4b-1\lt 7$
Add $1$ to each side.
$\Rightarrow 4b-1+1\lt 7+1$
Simplify.
$\Rightarrow 4b\lt 8$
Divide each side by $4$.
$\Rightarrow \frac{4b}{4}\lt \frac{8}{4}$
Simplify.
$\Rightarrow b\lt 2$
Hence, the solution is $ b\lt 2$.
Use an open circle because $2$ is not a solution.
Shade the number line on the left side.
