1. The problem asks to evaluate the ceiling and floor functions for given values. 2. For part a, \( \lceil 49.4 \rceil \) means the smallest integer greater than or equal to 49.4. 3. Since 49.4 is between 49 and 50, the ceiling is 50. 4. For part b, \( \lceil 1000.6 \rceil \) means the smallest integer greater than or equal to 1000.6. 5. Since 1000.6 is between 1000 and 1001, the ceiling is 1001. 6. For part c, \( \lfloor 25.5 \rfloor \) means the greatest integer less than or equal to 25.5. 7. Since 25.5 is between 25 and 26, the floor is 25. Final answers: \( \lceil 49.4 \rceil = 50 \) \( \lceil 1000.6 \rceil = 1001 \) \( \lfloor 25.5 \rfloor = 25 \)