Prove that the set {a ∈ R2: a2 not equal to 6} is open

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 21E
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Prove that the set {a ∈ R2: a2 not equal to 6} is open.

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