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This lecture covers the concept of absolute value and intervals, starting with the definition of the absolute value function and its properties, followed by the introduction of intervals and their representation. The instructor explains the concept of intercalles, sets of the form [a, b], and their different variations. The lecture also delves into the triangle inequality and its application in determining the absolute value. Furthermore, the lecture discusses derubrable sets and countability, providing examples to illustrate these concepts. The session concludes with a detailed explanation of complete numbers, including their representation in the complex plane and the module-conjugate properties.