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 6CYU
The conclusion is valid.
Explanation of Solution
Given: If students pass an entrance exam, they will be accepted into college. Latisha passed the entrance exam.
Conclusion: Latisha will be accepted into college.
Calculation:
Draw a Venn diagram according to the conditional “a student who passes an entrance exam will be accepted into college.” So draw a
First identify the hypothesis
Use the Law of Detachment,
“if
Therefore, by the Law of Detachment Latisha is inside the student who passes the entrance exam circle. This shows Latisha is inside the students who are accepted into college corcle. So, Latisha will be accepted into college.
Therefore, the statement is valid.
Chapter 2 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning