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solve the inequality and graph the solution. 69 < 77(b - 4) - 85 plot t…

Question

solve the inequality and graph the solution. 69 < 77(b - 4) - 85 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Expand the right - hand side

$69<77b-308 - 85$

Step2: Simplify the right - hand side

$69<77b - 393$

Step3: Add 393 to both sides

$69 + 393<77b-393 + 393$
$462<77b$

Step4: Divide both sides by 77

$\frac{462}{77}<\frac{77b}{77}$
$6 < b$

Answer:

The solution of the inequality is $b>6$. On the number - line, an open circle is placed at $b = 6$ and the line extends to the right of 6.