Question

use the number line to represent the solution to $120x + 180 \leq 1,020$. select the ray. move the point on the ray to the correct place on the number line.

Explanation:

Step1: Subtract 180 from both sides

$$120x+180 - 180\leq1020 - 180$$
$$120x\leq840$$

Step2: Divide both sides by 120

$$\frac{120x}{120}\leq\frac{840}{120}$$
$$x\leq7$$

On the number - line, we use a closed circle at \(x = 7\) (because the inequality is \(\leq\), so 7 is included in the solution set) and draw a ray to the left.

Answer:

We select the ray with a closed - circle (since \(x = 7\) is included in the solution \(x\leq7\)) and the ray going to the left. Place the closed - circle at \(x = 7\) on the number line.