Question

solve the inequality and graph the solution. 2(b + 9) - 17 > 17 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 left - hand side

$2(b + 9)-17=2b+18 - 17=2b + 1$
So the inequality becomes $2b+1>17$.

Step2: Isolate the variable term

Subtract 1 from both sides: $2b+1 - 1>17 - 1$, which simplifies to $2b>16$.

Step3: Solve for b

Divide both sides by 2: $\frac{2b}{2}>\frac{16}{2}$, so $b > 8$.

Answer:

The solution of the inequality is $b>8$. On the number - line, we have an open circle at 8 and a ray extending to the right.