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When Patrick went for an interview in his On-the-Job Training in a 20-floor building, he was about to take an elevator but noticed that Elevator A only caters to even-numbered floors and the Elevator B can only go to odd-numbered ones. However, the two elevators both cater the four underground floors. How would you represent the floors serviced by the two elevators as sets? (Use U1, U2, U3, U4 for the underground floors, and use A and B to denote the sets.)?​

When Patrick went for an interview in his On-the-Job Training in a 20-floor building, he was about to take an elevator but noticed that Elevator A only caters to even-numbered floors and the Elevator B can only go to odd-numbered ones. However, the two elevators both cater the four underground floors. How would you represent the floors serviced by the two elevators as sets? (Use U1, U2, U3, U4 for the underground floors, and use A and B to denote the sets.)?​

Answer:

The floors serviced by elevator A can be represented as the set A = {2, 4, 6, 8, ..., 18, 20}.

The floors serviced by elevator B can be represented as the set B = {1, 3, 5, 7, ..., 19}.

The four underground floors can be represented as the set U = {u1, u2, u3, u4}.

Therefore, the complete set of floors serviced by the two elevators can be represented as the union of the sets A, B, and U: A ∪ B ∪ U.

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