Question

graph the solution to the inequality on the number line.
|u| ≤ 4

Explanation:

Step1: Rewrite absolute value inequality

Recall that $|u| \leq a$ translates to $-a \leq u \leq a$. For $a=4$, this gives:
$$-4 \leq u \leq 4$$

Step2: Identify graph markers

Since the inequality includes equality ($\leq$), use solid dots at $u=-4$ and $u=4$.

Step3: Shade the solution interval

Shade the segment of the number line between $-4$ and $4$ to represent all values of $u$ that satisfy the inequality.

Answer:

1. Place a solid dot at $-4$ and a solid dot at $4$ on the number line.
2. Draw a solid line segment connecting the two solid dots to shade all values between $-4$ and $4$.