Concept explainers
To draw: The valid conclusion from the given statement, if possible, and then state whether by using the Law of Detachment or Law of Syllogism. If no valid conclusion can be drawn, write no valid conclusion and explain reasoning.
Answer to Problem 8CYU
The conclusion is valid.
Explanation of Solution
Given: The statements are as follows.
- If Dalila finishes her shores, she will receive her allowance.
- If Dalila receives her allowance, she will buy a CD.
Calculation:
Let
Solve the test item.
Analyze the logic of the given conditional statement using symbols.
• Statement (1):
Statement (2):
Use the Law of Syllogism,
“If
Both statements are considered true. Law of Syllogism shows, “if D finishes her chores, then D will buy a CD.”
Therefore, the conclusion is valid.
Chapter 2 Solutions
Geometry, Student Edition
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