QuestionAugust 26, 2025

10. Which statement is false? A Some integers are irrational. B Some integers are whole numbers. C Some rational numbers are integers. D Some real numbers are irrational.

10. Which statement is false? A Some integers are irrational. B Some integers are whole numbers. C Some rational numbers are integers. D Some real numbers are irrational.
10. Which statement is false?
A Some integers are irrational.
B Some integers are whole numbers.
C Some rational numbers are integers.
D Some real numbers are irrational.

Solution
4.2(223 votes)

Answer

A Some integers are irrational. Explanation 1. Analyze Statement A Integers are whole numbers and cannot be irrational. Irrational numbers cannot be expressed as a fraction of two integers. 2. Analyze Statement B Whole numbers include all non-negative integers, so some integers are indeed whole numbers. 3. Analyze Statement C Rational numbers can be expressed as a fraction of two integers. Some rational numbers, like 2 or -3, are integers. 4. Analyze Statement D Real numbers include both rational and irrational numbers, so some real numbers are irrational.

Explanation

1. Analyze Statement A<br /> Integers are whole numbers and cannot be irrational. Irrational numbers cannot be expressed as a fraction of two integers.<br /><br />2. Analyze Statement B<br /> Whole numbers include all non-negative integers, so some integers are indeed whole numbers.<br /><br />3. Analyze Statement C<br /> Rational numbers can be expressed as a fraction of two integers. Some rational numbers, like 2 or -3, are integers.<br /><br />4. Analyze Statement D<br /> Real numbers include both rational and irrational numbers, so some real numbers are irrational.
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