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R E P Ú B L I C A B O L I V A R I A N A D E V E N E Z U E L A
I N S T I T U T O U N I V E R S I T A R I O P O L I T É C N I C O
“ S A N T I A G O M A R I Ñ O ”
S E D E B A R C E L O N A
A S I G N A T U R A : E S T R U C T U R A S D I S C R E T A S Y
G R A F O S
S E C C I Ó N S V
leyes de Conjuntos
Bachiller:
Oscar Guarimata
C.I 27.455.059
Profesor:
Asdrúbal Rodríguez
LEYES DE CONJUNTOS
 ASOCIATIVA
(A ∪ B) ∪ C = A ∪ (B ∪ C ) (A ∩ B) ∩ C = A ∩ (B ∩ C)
 CONMUTATIVA
A ∪B = B ∪ A A ∩ B = B ∩ A
 DISTRIBUTIVA
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
 DE IDENTIDAD
A ∪ U = U A ∩ U = A
A ∪ ∅ = A A ∩ ∅ = ∅
 DE IDEMPOTENCIA A
∪ A = A A ∩ A = A
Ejercicio #01
Ejercicio #02
Ejercicio #03
Ejercicio #04
Ejercicio #05

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Presentación Leyes de conjuntos

  • 1. R E P Ú B L I C A B O L I V A R I A N A D E V E N E Z U E L A I N S T I T U T O U N I V E R S I T A R I O P O L I T É C N I C O “ S A N T I A G O M A R I Ñ O ” S E D E B A R C E L O N A A S I G N A T U R A : E S T R U C T U R A S D I S C R E T A S Y G R A F O S S E C C I Ó N S V leyes de Conjuntos Bachiller: Oscar Guarimata C.I 27.455.059 Profesor: Asdrúbal Rodríguez
  • 2. LEYES DE CONJUNTOS  ASOCIATIVA (A ∪ B) ∪ C = A ∪ (B ∪ C ) (A ∩ B) ∩ C = A ∩ (B ∩ C)  CONMUTATIVA A ∪B = B ∪ A A ∩ B = B ∩ A  DISTRIBUTIVA A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)  DE IDENTIDAD A ∪ U = U A ∩ U = A A ∪ ∅ = A A ∩ ∅ = ∅  DE IDEMPOTENCIA A ∪ A = A A ∩ A = A