Answer:
b≥− 37/76
Explanation:
\begin{aligned}-67b+6 & \leq 9b + 43 \\\\ -67b&\leq 9b+37 &(\text{Subtract } 6 \text{ from both sides}) \\\\ -76b &\leq 37 &(\text{Subtract } 9b \text{ from both sides})\\\\ 76b&\geq -37&(\text{Multiply both sides by }-1)\\\\ b&\geq-\dfrac{37}{76}&(\text{Divide both sides by }76) \end{aligned}
−67b+6
−67b
−76b
76b
b
≤9b+43
≤9b+37
≤37
≥−37
≥−
76
37
(Subtract 6 from both sides)
(Subtract 9b from both sides)
(Multiply both sides by −1)
(Divide both sides by 76)