Problem 6. Consider the subset Co = [0, 1]C R. Recursively, define the sets Cn+1 = 3 2, Cn + 3 [a, b], then the notation A/3 describes the interval for n > 1, where, if we let A = [a/3, 6/3] and the notation A + 2/3 describe the interval [a + 2/3,6+2/3]. (a) Describe and draw the sets C1, C2, C3 and C4 as a union of explicit intervals. (b) Show that the intersection NCn is non-empty.
Problem 6. Consider the subset Co = [0, 1]C R. Recursively, define the sets Cn+1 = 3 2, Cn + 3 [a, b], then the notation A/3 describes the interval for n > 1, where, if we let A = [a/3, 6/3] and the notation A + 2/3 describe the interval [a + 2/3,6+2/3]. (a) Describe and draw the sets C1, C2, C3 and C4 as a union of explicit intervals. (b) Show that the intersection NCn is non-empty.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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![Problem 6.
Consider the subset Co = [0, 1]CR. Recursively, define
the sets
Cn
Cn
Cn+1 =u(
3
3
[a, b], then the notation A/3 describes the interval
for n > 1, where, if we let A
[a/3, b/3] and the notation A+ 2/3 describe the interval [a + 2/3, b+2/3].
(a) Describe and draw the sets C1, C2, C3 and C4 as a union of explicit intervals.
(b) Show that the intersection NCn is non-empty.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05f71249-0159-4369-afdd-b84b5bf21c00%2Fa1e76508-ed20-441b-bc98-f25e95ff76d9%2F2odh1e_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 6.
Consider the subset Co = [0, 1]CR. Recursively, define
the sets
Cn
Cn
Cn+1 =u(
3
3
[a, b], then the notation A/3 describes the interval
for n > 1, where, if we let A
[a/3, b/3] and the notation A+ 2/3 describe the interval [a + 2/3, b+2/3].
(a) Describe and draw the sets C1, C2, C3 and C4 as a union of explicit intervals.
(b) Show that the intersection NCn is non-empty.
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