No, "all real numbers" does not mean infinity, but it refers to the entire set of numbers that belong to the real number system. The real numbers include:

1. Rational numbers: Numbers that can be expressed as a fraction $\frac{a}{b}$, where $a$ and $b$ are integers, and $b \neq 0$. Examples: $1/2, -3, 0, 4.5$.
2. Irrational numbers: Numbers that cannot be expressed as fractions, and their decimal representations are non-repeating and non-terminating. Examples: $\pi, \sqrt{2}, e$.
3. Positive and negative numbers, as well as zero.

Infinite Nature of the Real Number Line

The set of real numbers is infinite because:

• There is no smallest or largest real number.
• Between any two real numbers, there are infinitely many more real numbers.

However, this does not mean "infinity" is a real number. Infinity is a concept, not a number, and it is used to describe the unbounded nature of the real number system.

Summary

All real numbers refer to the complete set of numbers on the real number line, but it does not include infinity as an actual number.

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Would you like more clarification on this or related concepts?
Here are some related questions you might find interesting:

1. What are the differences between real numbers and imaginary numbers?
2. Can real numbers include repeating decimals?
3. How do real numbers relate to irrational and rational numbers?
4. Why is infinity considered a concept rather than a number?
5. How is the set of real numbers represented graphically?

Tip: Visualizing the number line helps in understanding the real number set and its infinite nature.