If it is a holiday, then the office is closed. The office is open. What can we c

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Question: If it is a holiday, then the office is closed. The office is open. What can we conclude?

Options:

Correct Answer: It is not a holiday

Solution:

If the office is open, then it cannot be a holiday, as the office would be closed on holidays.

If it is a holiday, then the office is closed. The office is open. What can we conclude?

If it is a holiday, then the office is closed. The office is open. What can we conclude?

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.

Conditional Statements – Understanding the implications of 'if-then' statements and their contrapositive.
Logical Reasoning – Applying logical reasoning to deduce conclusions from given premises.