Question

solve the inequality and graph the solution. 2(d - 5) ≥ 6 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: Distribute the 2

$2(d - 5)=2d-10$, so the inequality becomes $2d - 10\geq6$.

Step2: Add 10 to both sides

$2d-10 + 10\geq6 + 10$, which simplifies to $2d\geq16$.

Step3: Divide both sides by 2

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

Answer:

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