Solve for b.
give an exact answer in simplified form.
-67b + 6 < 9b + 43

b≥−  37/76

Step-by-step 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)

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