No, Angie is not correct. The statement "irrational numbers are real numbers" is true.
To explain further, the set of real numbers includes both rational and irrational numbers. Rational numbers are those that can be expressed as a fraction of two integers (e.g., \( \frac{1}{2}, -3, 4.75 \)), while irrational numbers cannot be expressed as a simple fraction of two integers (e.g., \( \sqrt{2}, \pi, e \)).
Since irrational numbers fall within the broader category of real numbers, the statement is true. An example of an irrational number is \( \sqrt{2} \), which is indeed a real number. Therefore, Angie's claim that the statement is NEVER true is incorrect.
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