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1 of 151 of 15 Items Question Which statement is true about the relationships between the number sets?(1 point) Responses Whole numbers include all natural numbers and 0. Whole numbers include all natural numbers and 0. Some irrational numbers are also integers. Some irrational numbers are also integers. Not all natural numbers are real numbers. Not all natural numbers are real numbers. All rational numbers are also integers.
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GPT-4o mini
The correct statement among the options provided is:
**Whole numbers include all natural numbers and 0.**
Here's a breakdown of why the other statements are false:
- **Some irrational numbers are also integers.** (False: Irrational numbers cannot be integers.)
- **Not all natural numbers are real numbers.** (False: All natural numbers are indeed real numbers.)
- **All rational numbers are also integers.** (False: While all integers are rational numbers, not all rational numbers are integers, as rational numbers can be fractions.)
Therefore, the first statement is the only true one.
**Whole numbers include all natural numbers and 0.**
Here's a breakdown of why the other statements are false:
- **Some irrational numbers are also integers.** (False: Irrational numbers cannot be integers.)
- **Not all natural numbers are real numbers.** (False: All natural numbers are indeed real numbers.)
- **All rational numbers are also integers.** (False: While all integers are rational numbers, not all rational numbers are integers, as rational numbers can be fractions.)
Therefore, the first statement is the only true one.
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