Which set includes all rational and irrational numbers?

Which set includes all rational and irrational numbers?

• A. Rational Numbers
• B. Irrational Numbers
• C. Natural Numbers
• D. Real Number

Answer: (D)

Real numbers are all the numbers you can place on a number line. They include both rational numbers (like integers and fractions) and irrational numbers (non-terminating, non-repeating decimals such as sqrt(2) or pi). Since it covers both types, it’s the set that includes all rational and irrational numbers. The other sets don’t fit: natural numbers are just a subset of rationals, rational numbers exclude irrationals, and irrational numbers exclude rationals. So the real numbers are the complete collection.

Real numbers are all the numbers you can place on a number line. They include both rational numbers (like integers and fractions) and irrational numbers (non-terminating, non-repeating decimals such as sqrt(2) or pi). Since it covers both types, it’s the set that includes all rational and irrational numbers. The other sets don’t fit: natural numbers are just a subset of rationals, rational numbers exclude irrationals, and irrational numbers exclude rationals. So the real numbers are the complete collection.