Concept explainers
To find: Whether the stated conclusion is valid based on the given information, if not, write invalid, and explain the reasoning by using Venn diagram.
Answer to Problem 5CYU
The conclusion is invalid.
Explanation of Solution
Given: If a beach is public, then it does not have a lifeguard. Bayview does not have a lifeguard.
Conclusion: Bayview is a public beach.
Calculation:
Draw a Venn diagram according to the conditional “a public beach does not have a lifeguard.” So draw a
First identify the hypothesis
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, it is possible that Bayview is inside or outside the circle for “public.”
The statement is invalid.
Chapter 2 Solutions
Geometry, Student Edition
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