Question

solve the inequality and graph the solution.
2j + 8 ≥ 2
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 8 from both sides

To isolate the term with \( j \), we subtract 8 from both sides of the inequality \( 2j + 8 \geq 2 \). This gives us \( 2j + 8 - 8 \geq 2 - 8 \), which simplifies to \( 2j \geq -6 \).

Step2: Divide both sides by 2

To solve for \( j \), we divide both sides of the inequality \( 2j \geq -6 \) by 2. This gives us \( \frac{2j}{2} \geq \frac{-6}{2} \), which simplifies to \( j \geq -3 \).

Answer:

The solution to the inequality \( 2j + 8 \geq 2 \) is \( j \geq -3 \). To graph this, we plot a closed circle at \( -3 \) (since the inequality is "greater than or equal to") and draw a ray to the right of \( -3 \) on the number line.