Question

solve the inequality and graph the solution.
$\frac{k}{2}-16geq - 14$
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.

Explanation:

Step1: Isolate the variable term

Add 16 to both sides of the inequality $\frac{k}{2}-16\geq - 14$.
$\frac{k}{2}-16 + 16\geq-14 + 16$
$\frac{k}{2}\geq2$

Step2: Solve for k

Multiply both sides of the inequality by 2.
$2\times\frac{k}{2}\geq2\times2$
$k\geq4$

To graph the solution on the number - line:

1. Plot a closed circle at $k = 4$ (since the inequality is $\geq$, the endpoint is included).
2. Draw a ray to the right of 4 to represent all values of $k$ that are greater than or equal to 4.

Answer:

The solution of the inequality is $k\geq4$. On the number - line, plot a closed circle at 4 and draw a ray to the right.