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If it is a holiday, then the office is closed. The office is open. What can we c
If it is a holiday, then the office is closed. The office is open. What can we conclude?
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Practice Questions
1 question
Q1
If it is a holiday, then the office is closed. The office is open. What can we conclude?
It is a holiday
It is not a holiday
The office is never closed
The office is always open
Show Solution
Copy
If the office is open, then it cannot be a holiday, as the office would be closed on holidays.
Questions & Step-by-step Solutions
1 item
Q
Q: If it is a holiday, then the office is closed. The office is open. What can we conclude?
Solution:
If the office is open, then it cannot be a holiday, as the office would be closed on holidays.
Steps: 4
Show Steps
Step 1: Understand the first statement: 'If it is a holiday, then the office is closed.' This means that holidays lead to the office being closed.
Step 2: Understand the second statement: 'The office is open.' This means that the office is not closed.
Step 3: Combine the two statements: Since the office is open, it cannot be a holiday because if it were a holiday, the office would have to be closed.
Step 4: Conclude: Therefore, we can conclude that it is not a holiday.
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