Question

incorrect
your answer is incorrect.
graph the solution to the inequality on the number line.
|w - 4| ≥ 5

Explanation:

Step1: Split absolute value inequality

For $|u-4|\geq5$, this translates to two inequalities:
$u-4\geq5$ or $u-4\leq-5$

Step2: Solve first inequality

Isolate $u$ by adding 4 to both sides:
$u-4+4\geq5+4$
$u\geq9$

Step3: Solve second inequality

Isolate $u$ by adding 4 to both sides:
$u-4+4\leq-5+4$
$u\leq-1$

Step4: Graph the solution

On the number line:

1. Plot a closed dot at $u=-1$ and shade all values to the left of $-1$.
2. Plot a closed dot at $u=9$ and shade all values to the right of $9$.

Answer:

The solution is $u\leq-1$ or $u\geq9$. On the number line, this is represented by a closed dot at $-1$ with shading to the left, and a closed dot at $9$ with shading to the right.