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. the number line has marks from -12 to 12 with intervals of 2.

Explanation:

Step1: Subtract 180 from both sides

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

Step2: Divide both sides by 120

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

Answer:

The ray should start at \(x = 7\) (with a closed - circle since the inequality is \(\leq\)) and extend to the left (towards the negative direction) on the number line.