Question

solve the inequality and graph the solution. 4(c - 1) ≥ 8 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 4

$4(c - 1)=4c-4$, so the inequality becomes $4c - 4\geq8$.

Step2: Add 4 to both sides

$4c-4 + 4\geq8 + 4$, which simplifies to $4c\geq12$.

Step3: Divide both sides by 4

$\frac{4c}{4}\geq\frac{12}{4}$, so $c\geq3$.

Answer:

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