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

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.

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.

Answer

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, since (x\leq7), we use a closed - circle at (x = 7) (because the inequality is (\leq), so 7 is included in the solution set) and the ray should point to the left (towards the smaller numbers).

Answer:

Use a closed - circle at (7) and the ray pointing to the left.