Question

solve the inequality and graph the solution.
4(w - 2) + 2 ≤ 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.
submit

Explanation:

Step1: Expand the left - hand side

$$4(w - 2)+2=4w-8 + 2=4w-6$$
The inequality becomes $4w-6\leq18$.

Step2: Add 6 to both sides

$$4w-6 + 6\leq18 + 6$$
$$4w\leq24$$

Step3: Divide both sides by 4

$$\frac{4w}{4}\leq\frac{24}{4}$$
$$w\leq6$$

Answer:

The solution of the inequality is $w\leq6$. On the number - line, we plot a closed circle at $6$ (since the inequality is $\leq$) and draw a ray to the left of $6$.