3. Prove if x is an isolated point of a set S, then x E bd S.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 26E: Prove that the cancellation law for multiplication holds in Z. That is, if xy=xz and x0, then y=z.
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3.
Prove if x is an isolated point of a set S, then x E bd S.
4.
Show that
ne N} which is subset of R is not compact by describing an open cover for
it that has no finite subcover.
Transcribed Image Text:3. Prove if x is an isolated point of a set S, then x E bd S. 4. Show that ne N} which is subset of R is not compact by describing an open cover for it that has no finite subcover.
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