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Which statement is true about the relationships between the number sets?(1 point) Responses Some irrational numbers are also integers. Some irrational numbers are also integers. Whole numbers include all natural numbers and 0. Whole numbers include all natural numbers and 0. All rational numbers are also integers. All rational numbers are also integers. Not all natural numbers are real numbers.
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GPT-4o mini
The true statement about the relationships between the number sets is:
**Whole numbers include all natural numbers and 0.**
Here's a brief explanation of the other statements:
1. **Some irrational numbers are also integers.** - This is false. Irrational numbers cannot be integers since integers are whole numbers without fractions or decimals.
2. **All rational numbers are also integers.** - This is false. Rational numbers include fractions and decimals (e.g., 1/2, 3.5) that are not integers.
3. **Not all natural numbers are real numbers.** - This is false. All natural numbers are indeed real numbers.
Thus, the second statement is the only true one.
**Whole numbers include all natural numbers and 0.**
Here's a brief explanation of the other statements:
1. **Some irrational numbers are also integers.** - This is false. Irrational numbers cannot be integers since integers are whole numbers without fractions or decimals.
2. **All rational numbers are also integers.** - This is false. Rational numbers include fractions and decimals (e.g., 1/2, 3.5) that are not integers.
3. **Not all natural numbers are real numbers.** - This is false. All natural numbers are indeed real numbers.
Thus, the second statement is the only true one.
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