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Let A = {Ba:a € A} be a family of sets and let G be a nonempty set. Prove GnU B.) = U(GN B.) Order Sentences a. For the other direction, presume y E (U. (G n Ba) a €. b. y E G and y € B8 c. y E Gn (U.e Ba a € A d. æ € G and 3B E A, x € B3 e. æ € U.ea (GN B.) f. 3B E A, y E G N B8 g. First, let E Gn( Uaea Ba) h. y E G and y E JBa a b i. æ € GN Bg d e f Submi

Let A = {Ba:a € A} be a family of sets and let G be a nonempty set. Prove GnU B.) = U(GN B.) Order Sentences a. For the other direction, presume y E (U. (G n Ba) a €. b. y E G and y € B8 c. y E Gn (U.e Ba a € A d. æ € G and 3B E A, x € B3 e. æ € U.ea (GN B.) f. 3B E A, y E G N B8 g. First, let E Gn( Uaea Ba) h. y E G and y E JBa a b i. æ € GN Bg d e f Submi

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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Let A = {Ba:a € A} be a family of sets and let G be a nonempty set. Prove GnU B.) = U(GN B.) Order Sentences a. For the other direction, presume y E U. (G n Ba) a €. b. y E G and y € B8 c. y E Gn (U.e Ba a € A d. æ € G and 3B E A, x € B3 e. æ € Ua e a (GN B.) f. 3B E A, y E G N B8 g. First, let æ E Gn ( Uaea Ba) A h. y € G and y E JBa a b i. æ € GN Bg d e f Submi g h
Transcribed Image Text:Let A = {Ba:a € A} be a family of sets and let G be a nonempty set. Prove GnU B.) = U(GN B.) Order Sentences a. For the other direction, presume y E U. (G n Ba) a €. b. y E G and y € B8 c. y E Gn (U.e Ba a € A d. æ € G and 3B E A, x € B3 e. æ € Ua e a (GN B.) f. 3B E A, y E G N B8 g. First, let æ E Gn ( Uaea Ba) A h. y € G and y E JBa a b i. æ € GN Bg d e f Submi g h
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