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a function f from E onto N, then E is at most countable. b) A dyadic rational is a point x e R such that x = n/2m for some n e Z and m e N. The set of dyadic rationals is %3D uncountable. c) Suppose that A and B are sets and that f : A → B is 1-1. If A is uncountable, then B is uncountable.

a function f from E onto N, then E is at most countable. b) A dyadic rational is a point x e R such that x = n/2m for some n e Z and m e N. The set of dyadic rationals is %3D uncountable. c) Suppose that A and B are sets and that f : A → B is 1-1. If A is uncountable, then B is uncountable.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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help with a and c please

a function f from E onto N, then E is at most countable. b) A dyadic rational is a point x e R such that x = n/2m for some n e Z and m e N. The set of dyadic rationals is %3D uncountable. c) Suppose that A and B are sets and that f : A → B is 1-1. If A is uncountable, then B is uncountable.
Transcribed Image Text:a function f from E onto N, then E is at most countable. b) A dyadic rational is a point x e R such that x = n/2m for some n e Z and m e N. The set of dyadic rationals is %3D uncountable. c) Suppose that A and B are sets and that f : A → B is 1-1. If A is uncountable, then B is uncountable.
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