Answer:
[tex]$b>-\frac{8}{3}$[/tex]
Step-by-step explanation:
[tex]$-2>\frac{3(b+4)}{-2}$[/tex]
Multiply both sides by –2 (which flips the sign):
[tex]$4<3(b+4)$[/tex]
Divide both sides by 3:
[tex]$\frac{4}{3}<b+4$[/tex]
Subtract 4 from both sides:
[tex]$\frac{4}{3}-4<b$[/tex]
Make 4 an improper fraction with a denominator of 3:
[tex]$\frac{4}{3}-\frac{12}{3}<b$[/tex]
Subtract:
[tex]$-\frac{8}{3}<b$[/tex]
[tex]$b>-\frac{8}{3}$[/tex]