Question

solve the inequality and graph the solution. 4(w - 2) ≥ 16. 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: Solve the inequality

First, distribute the 4 in $4(w - 2)\geq16$. We get $4w-8\geq16$.
Then, add 8 to both sides: $4w-8 + 8\geq16 + 8$, which simplifies to $4w\geq24$.
Next, divide both sides by 4: $\frac{4w}{4}\geq\frac{24}{4}$, so $w\geq6$.

Step2: Graph the solution

On the number - line, we plot a closed circle at 6 (because the inequality is $\geq$, so 6 is included in the solution set) and draw a ray to the right to represent all values of $w$ that are greater than or equal to 6.

Answer:

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