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Applied Mathematics · Ch 3 — Sets

Intervals as Subset of the Set of Real Numbers R

3.7

Intervals as Subset of the Set of Real Numbers R

The real number line is not just a collection of isolated points — it is a continuous stretch. An interval is a connected block of that line, containing every real number that lies between two given endpoints. By learning to represent and classify intervals (open, closed, half-open), you gain a precise language for describing ranges of values, which is essential for solvin …