Suppose A and B are both countably infinite sets. Show that the union of A and B is also countably infinite by displaying a one-to- one, onto function f: N→ (AUB).
Suppose A and B are both countably infinite sets. Show that the union of A and B is also countably infinite by displaying a one-to- one, onto function f: N→ (AUB).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 12E
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Transcribed Image Text:Suppose A and B are both countably infinite sets. Show that the union of A and B is also countably infinite by displaying a one-to-
one, onto function f: N→ (AUB).
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