Question

solve the inequality and graph the solution. 2(d - 5) - 9 ≥ -3. 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

$2(d - 5)-9=2d-10 - 9=2d-19$. So the inequality becomes $2d-19\geq - 3$.

Step2: Add 19 to both sides

$2d-19 + 19\geq-3 + 19$, which simplifies to $2d\geq16$.

Step3: Divide both sides by 2

$\frac{2d}{2}\geq\frac{16}{2}$, so $d\geq8$.

Answer:

The solution of the inequality is $d\geq8$. On the number - line, we plot a closed circle at $d = 8$ (since the inequality is $\geq$) and draw a ray to the right.