Question

solve the inequality and graph the solution.
2k + 8 ≥ 4
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

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \( k \), we subtract 8 from both sides of the inequality \( 2k + 8 \geq 4 \). This gives us \( 2k + 8 - 8 \geq 4 - 8 \), which simplifies to \( 2k \geq -4 \).

Step2: Divide both sides by 2

To solve for \( k \), we divide both sides of the inequality \( 2k \geq -4 \) by 2. This results in \( \frac{2k}{2} \geq \frac{-4}{2} \), so \( k \geq -2 \).

Answer:

The solution to the inequality \( 2k + 8 \geq 4 \) is \( k \geq -2 \). 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.