If it is a holiday, then the office is closed. The office is open. Therefore, it

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Question: If it is a holiday, then the office is closed. The office is open. Therefore, it is not a holiday. Is this conclusion valid?

Options:

Correct Answer: Yes

Solution:

The conclusion is valid due to the contrapositive reasoning: if the office is open, then it cannot be a holiday.

If it is a holiday, then the office is closed. The office is open. Therefore, it is not a holiday. Is this conclusion valid?

If it is a holiday, then the office is closed. The office is open. Therefore, it is not a holiday. Is this conclusion valid?

Step 1: Understand the statement 'If it is a holiday, then the office is closed.' This means that holidays lead to the office being closed.
Step 2: Recognize that the office is open. This means the office is not closed.
Step 3: Use contrapositive reasoning. The contrapositive of the original statement is 'If the office is open, then it is not a holiday.'
Step 4: Since the office is open, we can conclude that it is not a holiday based on the contrapositive.

Contrapositive Reasoning – This concept involves understanding that if 'If A, then B' is true, then 'If not B, then not A' is also true.
Logical Implication – Understanding the relationship between premises and conclusions in logical statements.