The statement D is false that No irrational number is rational.
What are real numbers?
The set of real numbers includes integers, rational numbers, and irrational numbers.
This implies that all irrational numbers and integers are also real numbers.
Thus, statements A and B are correct.
Rational numbers are numbers that can be written as the division of two integers, which thus also include all integers.
The set of irrational numbers then contains all real numbers that are NOT rational numbers
Therefore, the set of irrational numbers does not include integers, which implies that statement D is false.
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