help!!!!!!!!!! 12 Suppose rị,r2, . .. is a sequence that contains every rational number. Let0011F = R \U (rkrk+-2k'2kk=1(a) Show that F is a closed subset of R.(b) Prove that if I is an interval contained in F, then I contains at most oneelement.(c) Prove that |F = 0.

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Suppose r1,r2, . . . is a sequence that contains every rational number. Let 1 1 F = R \U (rk 2k k=1 (a) Show that F is a closed subset of R. (b) Prove that if I is an interval contained in F, then I contains at most one element. (c) Prove that |F| = 00.

Suppose r1,r2, . . . is a sequence that contains every rational number. Let 1 1 F = R \U (rk 2k k=1 (a) Show that F is a closed subset of R. (b) Prove that if I is an interval contained in F, then I contains at most one element. (c) Prove that |F| = 00.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

help!!!!!!!!!!

12 Suppose rị,r2, . .. is a sequence that contains every rational number. Let
00
1
1
F = R \U (rk
rk
+
-
2k'
2k
k=1
(a) Show that F is a closed subset of R.
(b) Prove that if I is an interval contained in F, then I contains at most one
element.
(c) Prove that |F = 0.

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