Question

solve the inequality and graph the solution.
2(v - 7) ≥ -20
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

$2(v - 7)=2v-14$, so the inequality becomes $2v - 14\geq - 20$.

Step2: Add 14 to both sides

$2v-14 + 14\geq - 20+14$, which simplifies to $2v\geq - 6$.

Step3: Divide both sides by 2

$\frac{2v}{2}\geq\frac{-6}{2}$, so $v\geq - 3$.

Answer:

The solution of the inequality is $v\geq - 3$. On the number - line, we plot a closed circle at $v=-3$ (since the inequality is $\geq$) and draw a ray to the right.