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Every whole number is a natural number....

Every whole number is a natural number.

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To solve the question "Every whole number is a natural number," we need to analyze the definitions of whole numbers and natural numbers. ### Step-by-Step Solution: 1. **Define Natural Numbers**: - Natural numbers are the set of positive integers starting from 1 and going upwards. This means the natural numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on (infinity). 2. **Define Whole Numbers**: - Whole numbers include all natural numbers plus the number 0. Therefore, the set of whole numbers is: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on (infinity). 3. **Compare the Two Sets**: - From the definitions, we can see that: - Whole numbers = {0, 1, 2, 3, 4, ...} - Natural numbers = {1, 2, 3, 4, ...} - The natural numbers start from 1, while whole numbers start from 0. 4. **Identify the Relationship**: - Every natural number is indeed a whole number because all natural numbers (1, 2, 3, ...) are included in the set of whole numbers. - However, not every whole number is a natural number because the whole number set includes 0, which is not a natural number. 5. **Conclusion**: - Therefore, the statement "Every whole number is a natural number" is **FALSE** because the whole number set contains 0, which is not a natural number. ### Final Answer: The statement "Every whole number is a natural number" is FALSE.
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