1. **State the problem:** We need to write the intervals shown on the number line in interval notation. 2. **Analyze the graph:** - There are filled dots at -5, -4, and -3, meaning these points are included. - There is an empty circle at 4, meaning 4 is not included. - The graph extends with an arrow to the left from -5 to negative infinity, so all values less than or equal to -5 are included. - The graph extends from 4 (not included) to 5 (included) with an arrow to the right. 3. **Write intervals:** - From negative infinity to -3 including -3 and all points less than or equal to -5, so this is $(-\infty, -5] \cup [-4, -3]$. - From 4 (not included) to 5 (included) is $(4, 5]$. 4. **Combine intervals:** The full interval notation is: $$(-\infty, -5] \cup [-4, -3] \cup (4, 5]$$ This represents all points to the left of -5 including -5, the points -4 and -3, and the points between 4 and 5 including 5 but not 4.