Question

solve word problems by solving inequalities
question id: 2002127

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.

(number line and ray selection interface shown, with number line from -12 to 12)

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 select the ray that points to the left (since \(x\) is less than or equal to a number) and place the point at \(x = 7\) (a closed - circle because of the \(\leq\) sign).

Answer:

Place the closed - circle at \(x = 7\) and select the ray pointing to the left.