8.4.10. Let A and B be subsets of R". a) Show that a(AN B)n(A B) b) Show that if xe a(AnB) and x ¢ (Ana B)U(Bna A), then x e aAnaB. c) Prove that a(ANB)(AB)U (BnaA)U (@ANAB).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8.4.10. Let A and B be subsets of R".
a) Show that a(AN B)n(AU (aB)°) C JA.
b) Show that if x e a(ANB) and x g (Ana B)U(Bna A), then x e aanaB.
c) Prove that a(A N B) C (ANOB)U (B na A) U (a AnaB).
d) Show that even in R, there exist sets A and B such that a(A N B)
(AnaB)U (B naA) U (J A n aB).
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Transcribed Image Text:8.4.10. Let A and B be subsets of R". a) Show that a(AN B)n(AU (aB)°) C JA. b) Show that if x e a(ANB) and x g (Ana B)U(Bna A), then x e aanaB. c) Prove that a(A N B) C (ANOB)U (B na A) U (a AnaB). d) Show that even in R, there exist sets A and B such that a(A N B) (AnaB)U (B naA) U (J A n aB). Filters Add a caption.. > My group
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