1. The problem asks to write the intervals shown on the number line in interval notation. 2. The intervals given are: - From negative infinity to -5, including -5: $(-\infty, -5]$ - From -4 to -3, including both endpoints: $[-4, -3]$ - From 4 to 5, excluding 4 but including 5: $(4, 5]$ 3. The union symbol $\cup$ is used to combine these intervals because they represent separate parts of the number line. 4. Therefore, the interval notation combining all parts is: $$(-\infty, -5] \cup [-4, -3] \cup (4, 5]$$ This notation correctly represents the intervals shown on the number line with filled circles indicating inclusion and hollow circles indicating exclusion of endpoints.