Answer:
[tex]b\ge \:5[/tex]
Step-by-step explanation:
[tex]-138\ge \:-6\left(6b-7\right)\\\\[/tex]
Switch sides
[tex]-6\left(6b-7\right)\le \:-138\\[/tex]
Multiply both sides by -1
[tex]\left(-6\left(6b-7\right)\right)\left(-1\right)\ge \left(-138\right)\left(-1\right)[/tex]
Simplify
[tex]6\left(6b-7\right)\ge \:138[/tex]
Divide both sides by 6
[tex]\frac{6\left(6b-7\right)}{6}\ge \frac{138}{6}[/tex]
Simplify
[tex]6b-7\ge \:23[/tex]
Add 7 to both sides
[tex]6b-7+7\ge \:23+7[/tex]
Simplify
[tex]6b\ge \:30[/tex]
Divide both sides by 6
[tex]\frac{6b}{6}\ge \frac{30}{6}[/tex]
Simplify
[tex]b\ge \:5[/tex]
