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 \(x = 7\) is included in the solution set) and the ray should point to the left (towards the smaller numbers).

Answer:

Move the point to \(7\) on the number line and use the closed - circle (third option in the ray - selection part) with the ray pointing to the left.