Let {A :A E A} be a family of subsets of IR. Show that • When A is finite, we have U A CU A, N 4 c(N4.). • When A is arbitrary, we have U 4R c (U4)", N 4cN A. A CN A .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let {A :A E A} be a family of subsets of IR. Show that
• When A is finite, we have
U A CUA,
• When A is arbitrary, we have
U
U 43 c (U 4), 4cN A.
Transcribed Image Text:Let {A :A E A} be a family of subsets of IR. Show that • When A is finite, we have U A CUA, • When A is arbitrary, we have U U 43 c (U 4), 4cN A.
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