Answer
$b\gt-4$
Work Step by Step
$-\frac{3}{2}b\lt6\longrightarrow$ multiply both sides by $-\frac{2}{3}$; reverse the inequality sign
$-\frac{3}{2}b\times(-\frac{2}{3})\gt6\times(-\frac{2}{3})\longrightarrow$ multiply
$b\gt -4$
Check the inequality.
$-\frac{3}{2}(0)\overset?\lt6$
$0\lt6\checkmark$
Since -4 is not included in the solution, the endpoint of the graph is an open circle.
