Question

solve the inequality and graph the solution.
3g - 9 ≥ 3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.

submit

Explanation:

Step1: Add 9 to both sides

To isolate the term with \( g \), we add 9 to both sides of the inequality \( 3g - 9 \geq 3 \). This gives us \( 3g - 9 + 9 \geq 3 + 9 \), which simplifies to \( 3g \geq 12 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3g \geq 12 \) by 3 to solve for \( g \). So, \( \frac{3g}{3} \geq \frac{12}{3} \), which simplifies to \( g \geq 4 \).

To graph the solution: We have a closed circle at \( g = 4 \) (because the inequality is "greater than or equal to") and we draw a ray to the right of 4 on the number line.

Answer:

The solution to the inequality is \( g \geq 4 \). For the graph, plot a closed endpoint at 4 and draw a ray extending to the right from 4.