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Posted: **Wed Jul 06, 2022 12:04 pm**

: Problem 7 Prove The Following Two Claims From Class A Let I Be A Sequence Of Intervals In R Such That Ij 1 I F 1 (50.66 KiB) Viewed 17 times

Problem 7. Prove the following two claims from class. (a) Let {I;} be a sequence of intervals in R such that Ij+1 ≤ I; for each j. Show that N=1 Ij ‡ Ø. (b) Let {R} be a sequence of rectangles in R" such that Rj+1 ≤ Rj for each j. Show that 1 Rj ‡ Ø.