Question

solve the inequality and graph the solution.
5j + 15 ≥ -15
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.

-10 -8 -6 -4 -2 0 2 4 6 8 10

Explanation:

Step1: Subtract 15 from both sides

To isolate the term with \( j \), we subtract 15 from both sides of the inequality \( 5j + 15 \geq -15 \). This gives us \( 5j + 15 - 15 \geq -15 - 15 \), which simplifies to \( 5j \geq -30 \).

Step2: Divide both sides by 5

To solve for \( j \), we divide both sides of the inequality \( 5j \geq -30 \) by 5. So, \( \frac{5j}{5} \geq \frac{-30}{5} \), which simplifies to \( j \geq -6 \).

Answer:

The solution to the inequality \( 5j + 15 \geq -15 \) is \( j \geq -6 \). To graph this, we plot a closed dot at \( -6 \) (since the inequality is "greater than or equal to") and draw a ray to the right of \( -6 \) on the number line.