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02-07-2024
Mathematics

Answered

1.2.3 Quiz: Deduction: Making a Case
Question 9 of 10

If the statement "If it is midnight, then the sun is not shining" is assumed to be true, is its reverse, "If the sun is not shining, then it is midnight," also always true?

A. Yes
B. No

Answer :

GinnyAnswer GinnyAnswer

02-07-2024

Final answer:

The reverse statement is not always true based on the initial premise.

Explanation:

No, the reverse statement "If the sun is not shining, then it is midnight," is not always true given the initial statement. This is an example of modus tollens, where the first premise is a conditional statement and the second premise denies its consequent to reach a conclusion. In this case, the conclusion is not always true as there could be other factors affecting whether it is midnight besides the sun shining or not.

Learn more about Logic here:

https://brainly.com/question/43322738

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