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In a Venn diagram with 'Dogs' and 'Pets', which statement is true?

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Question: In a Venn diagram with \'Dogs\' and \'Pets\', which statement is true?

Options:

  1. All dogs are pets
  2. Some pets are not dogs
  3. All pets are dogs
  4. Some dogs are not pets

Correct Answer: Some pets are not dogs

Solution: 

The statement \'Some pets are not dogs\' is true, as there are pets that are not dogs.

In a Venn diagram with 'Dogs' and 'Pets', which statement is true?

Practice Questions

Q1
In a Venn diagram with 'Dogs' and 'Pets', which statement is true?
  1. All dogs are pets
  2. Some pets are not dogs
  3. All pets are dogs
  4. Some dogs are not pets

Questions & Step-by-Step Solutions

In a Venn diagram with 'Dogs' and 'Pets', which statement is true?
  • Step 1: Understand what a Venn diagram is. It is a visual way to show how different groups overlap.
  • Step 2: Identify the two groups in the Venn diagram: 'Dogs' and 'Pets'.
  • Step 3: Recognize that all dogs are pets, but not all pets are dogs.
  • Step 4: Think about other types of pets, like cats, birds, or fish. These are pets but not dogs.
  • Step 5: Conclude that there are pets that are not dogs, making the statement 'Some pets are not dogs' true.
  • Venn Diagrams – A visual representation used to show the relationships between different sets.
  • Set Theory – The study of collections of objects, where 'Dogs' is a subset of 'Pets'.
  • Logical Statements – Understanding the truth value of statements based on set relationships.
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