**Analyzing Arguments with Euler Diagrams****Argument:**1. All fish are cold-blooded creatures.2. A trout is one of the cold-blooded creatures.3. Therefore, a trout is one of the fish.**Task:**Use Euler diagrams to determine whether this argument is valid or invalid.**Explanation:**To analyze this argument, we can use Euler diagrams, which are visual representations of logical relationships.In this scenario, we have three categories:- Fish- Cold-blooded creatures- Trout1. **Fish**: This category is entirely within the category of cold-blooded creatures.2. **Cold-blooded Creatures**: This is a larger category that includes all fish. However, it also may include other animals that are not fish.The argument assumes that because a trout is a cold-blooded creature, it must also be a fish. However, the statement "a trout is one of the cold-blooded creatures" does not necessarily mean it is a fish, because cold-blooded creatures can include many other non-fish animals.**Conclusion:**The conclusion drawn in the argument ("Therefore, a trout is one of the fish") is not valid based solely on the premises provided. While a trout is indeed a fish, this argument does not logically prove that fact.**Choose the correct answer below:**- ⃝ Invalid- ⃝ ValidThe correct choice is "Invalid" because the argument does not correctly establish that a trout must be a fish based solely on the premises given.

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Answered: Use Euler diagrams to determine whether…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use Euler diagrams to determine whether the following argument is valid or invalid. All fish are cold blooded creatures. A trout is one of the cold blooded creatures. Therefore, a trout is one of the fish. Choose the correct answer below. Invalid Valid