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(a) Prove that Int(AN B) = Int.A n IntB. %3D

(a) Prove that Int(AN B) = Int.A n IntB. %3D

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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Question
(a) Prove that \( \text{Int}(A \cap B) = \text{Int}A \cap \text{Int}B \). (b) Prove that \( \text{Cl}(A \cup B) = \text{Cl}A \cup \text{Cl}B \).
Transcribed Image Text:(a) Prove that \( \text{Int}(A \cap B) = \text{Int}A \cap \text{Int}B \). (b) Prove that \( \text{Cl}(A \cup B) = \text{Cl}A \cup \text{Cl}B \).
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