6. Suppose that inf A > inf B. a. Show that there exists a € B such that a is a lower bound of A. b. Give an example that item 6a is not true if inf A ≥ inf B.
6. Suppose that inf A > inf B. a. Show that there exists a € B such that a is a lower bound of A. b. Give an example that item 6a is not true if inf A ≥ inf B.
6. Suppose that inf A > inf B. a. Show that there exists a € B such that a is a lower bound of A. b. Give an example that item 6a is not true if inf A ≥ inf B.
Transcribed Image Text:6.
7.
Suppose that inf A > inf B.
a. Show that there exists a € B such that a is a lower bound of A.
b. Give an example that item 6a is not true if inf A ≥ inf B.
Show that R\ {a} is an open set using two different methods.
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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