
To find: Whether the stated conclusion is valid based on the given information, if not, write invalid.

Answer to Problem 4CYU
The conclusion is invalid.
Explanation of Solution
Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
Calculation:
First identify the hypothesis
Let
Let
Now analyze the conclusion.
The given statement “Elan is tired.” satisfies the conclusion, so
Use the Law of Detachment,
“if
Therefore, by the Law of Detachment does not apply. It is known that a conditional statement and its conclusion are true does not make the hypothesis true. So, the conclusion “Elan stayed up late” is invalid.
Chapter 2 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Algebra and Trigonometry (6th Edition)
Introductory Statistics
Calculus: Early Transcendentals (2nd Edition)
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