Question

solve the inequality and graph the solution.
6(u - 1) ≥ 12
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

$6(u - 1)=6u-6$, so the inequality becomes $6u - 6\geq12$.

Step2: Add 6 to both sides

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

Step3: Divide both sides by 6

$\frac{6u}{6}\geq\frac{18}{6}$, so $u\geq3$.

Answer:

The solution of the inequality is $u\geq3$. On the number - line, we plot a closed circle at $u = 3$ (because the inequality is $\geq$) and draw a ray to the right of 3.