Question

solve the inequality and graph the solution.
w + 4 ≥ 6
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 w.

Subtract 4 from both sides of the inequality $w + 4\geq6$.
$w+4 - 4\geq6 - 4$

Step2: Simplify the inequality.

$w\geq2$

To graph the solution on the number - line:
The inequality $w\geq2$ has a closed endpoint at $w = 2$ (because the inequality is $\geq$, which includes the equal part) and the line extends to the right of 2.

Answer:

The solution of the inequality is $w\geq2$. On the number - line, there is a closed circle at 2 and a ray extending to the right.