All dogs are animals. Some animals are not pets. Therefore, some dogs are not pets. (2023)
Practice Questions
1 question
Q1
All dogs are animals. Some animals are not pets. Therefore, some dogs are not pets. (2023)
True
False
Cannot be determined
None of the above
The conclusion does not necessarily follow from the premises.
Questions & Step-by-step Solutions
1 item
Q
Q: All dogs are animals. Some animals are not pets. Therefore, some dogs are not pets. (2023)
Solution: The conclusion does not necessarily follow from the premises.
Steps: 5
Step 1: Understand the first statement: 'All dogs are animals.' This means every dog belongs to the group of animals.
Step 2: Understand the second statement: 'Some animals are not pets.' This means there are animals that do not belong to the group of pets.
Step 3: Analyze the conclusion: 'Therefore, some dogs are not pets.' This suggests that there are some dogs that do not belong to the group of pets.
Step 4: Check if the conclusion logically follows from the premises. Just because some animals are not pets, it does not mean that any of those animals are dogs.
Step 5: Conclude that the premises do not provide enough information to support the conclusion. Therefore, the conclusion does not necessarily follow.
