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Recall that for o > 0, we defined the open ball B(x,6) as the open interval (x -8,x + 5), this interval is centered at x
Posted: Thu May 12, 2022 7:01 am
by answerhappygod
- Recall That For O 0 We Defined The Open Ball B X 6 As The Open Interval X 8 X 5 This Interval Is Centered At X 1 (34.84 KiB) Viewed 27 times
Recall that for o > 0, we defined the open ball B(x,6) as the open interval (x -8,x + 5), this interval is centered at x and has radius 6. Recall also that a set SSR is an open set if for every x ERIXES, then there there exists an open interval (s.1) such that x € (s.t) and (st) SS. x ER Question 6. (5 pts. each) A. Give a precise argument that proves R is an open set. B. Give a precise argument that proves is an open set. a C. Give a precise argument that proves that for all a R, the open interval (-co, a) is an open set. D. Give a precise argument that proves that for all b E R, the open interval (b,co) is an open set.