Lecture

Properties of Real Numbers: Bounds, Density, Absolute Value

Description

This lecture covers the properties of real numbers, including upper and lower bounds, supremum and infimum, and the concept of density. It also explains the absolute value function, its properties, and how it respects multiplication but not addition. The instructor demonstrates how rational and irrational numbers are dense in the real numbers, emphasizing the completeness of the real number system without gaps.

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