For each q € Z+, let B, denote the set of points in [0, 1] whose image under f is at least 1/q: B₁ = {x = [0, 1] : f(x) ≥ 1/q}. Write down B₁ for 1 ≤ q ≤ 5. Show that |B|, the number of elements in B₁ satisfies 1 - |B₁| ≤ 2 + 79(9 − 1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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For each q € Z+, let B, denote the set of points in [0, 1] whose image under f is
at least 1/q:
B₁ = {x = [0, 1] : f(x) ≥ 1/q}.
Write down B₁ for 1 ≤ q ≤ 5. Show that |B|, the number of elements in B₁
satisfies
1
-
|B₁| ≤ 2 + 79(9 − 1).
Transcribed Image Text:For each q € Z+, let B, denote the set of points in [0, 1] whose image under f is at least 1/q: B₁ = {x = [0, 1] : f(x) ≥ 1/q}. Write down B₁ for 1 ≤ q ≤ 5. Show that |B|, the number of elements in B₁ satisfies 1 - |B₁| ≤ 2 + 79(9 − 1).
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