Question

solve the inequality and graph the solution.
2(q + 3) ≥ 18
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

$2(q + 3)=2q+6$, so the inequality becomes $2q + 6\geq18$.

Step2: Subtract 6 from both sides

$2q+6 - 6\geq18 - 6$, which simplifies to $2q\geq12$.

Step3: Divide both sides by 2

$\frac{2q}{2}\geq\frac{12}{2}$, resulting in $q\geq6$.

Answer:

The solution of the inequality is $q\geq6$. On the number - line, plot a closed circle at 6 (since the inequality is $\geq$) and draw a ray to the right.