Question

solve the inequality and graph the solution.
3r + 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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Subtract 9 from both sides

To isolate the term with \( r \), we subtract 9 from both sides of the inequality \( 3r + 9 \geq 3 \). This gives us \( 3r + 9 - 9 \geq 3 - 9 \), which simplifies to \( 3r \geq -6 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3r \geq -6 \) by 3 to solve for \( r \). So, \( \frac{3r}{3} \geq \frac{-6}{3} \), which simplifies to \( r \geq -2 \).

Answer:

The solution to the inequality \( 3r + 9 \geq 3 \) is \( r \geq -2 \). To graph this, we plot a closed dot at \( -2 \) (since the inequality is "greater than or equal to") and draw a ray to the right of \( -2 \) on the number line.