Consider the sets: A={n² +n + 1/ n E N) and B={5k2-1 | kE N*}. (a) Prove that AnB=0. (b) Prove that A is denumerable.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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Consider the sets: A={n² +n + 1/ n E N} and
B={5k²-1 | kE N*).
(a) Prove that AnB=0.
(b) Prove that A is denumerable.
Transcribed Image Text:Consider the sets: A={n² +n + 1/ n E N} and B={5k²-1 | kE N*). (a) Prove that AnB=0. (b) Prove that A is denumerable.
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