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LEYES DE CONJUNTO 
Marco Piccinoni CI 15292553 
Ingenieria de Sistemas
LEYES DE CONJUNTO 
LEY DE IDEMPOTENCIA 
AUA= A 
A= {1,2,3,4} 
AUA= {1,2,3,4} 
LEY ASOCIATIVA 
(AUB) UC = AU(BUC) 
A= {2,4,5,6} 
B= {1,3,4,7} 
C= {2,3,8,9} 
(AUB)= {1,2,3,4,5,6,7} 
(AUB) UC= {1,2,3,4,5,6,7,8,9} 
(BUC)= {1,2,3,4,7,8,9} 
AU(BUC)= {1,2,3,4,5,6,7,8,9} 
(AUB) UC = AU(BUC) 
{1,2,3,4,5,6,7,8,9} = {1,2,3,4,5,6,7,8,9}
LEYES DE CONJUNTO 
LEY CONMUTATIVA 
AUB=BUA 
A={2,4,5,6} 
B={1,3,4,7} 
AUB={1,2,3,4,5,6,7} 
BUA={1,2,3,4,5,6,7} 
AUB = BUA 
{1,2,3,4,5,6,7} = {1,2,3,4,5,6,7} 
LEY DISTRIBUTIVA 
AU(B∩C)= (AUB) ∩(AUC) 
A={2,4,5,6} 
B= {1,3,4,7} 
C= {2,3,8,9} 
B∩C={3} 
AU(B∩C)= {2,3,4,5,6} 
AUB= {1,2,3,4,5,6,7} 
AUC= {2,3,4,5,6,8,9} 
(AUB) ∩(AUC)= {2,3,4,5,6} 
AU(B∩C) = (AUB) ∩(AUC) 
{2,3,4,5,6} = {2,3,4,5,6}
LEYES DE CONJUNTO 
LEY DE MORGAN 
E={1,2,3,4,5,6,7,8,9,10} 
A= {1,3,5,9} 
B= {2,4,6,10} 
(AUB)´ =A´∩ B´ 
AUB= {1,2,3,4,5,6,7,9,10} 
(AUB)´= {7,8} 
A´= {2,4,6,7,8,10} 
B´= {1,3,5,7,8,9} 
A´∩ B´= {7,8} 
(AUB)´ =A´∩ B´ 
{7,8} = {7,8}

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Leyes de Conjunto Marco Piccinoni

  • 1. LEYES DE CONJUNTO Marco Piccinoni CI 15292553 Ingenieria de Sistemas
  • 2. LEYES DE CONJUNTO LEY DE IDEMPOTENCIA AUA= A A= {1,2,3,4} AUA= {1,2,3,4} LEY ASOCIATIVA (AUB) UC = AU(BUC) A= {2,4,5,6} B= {1,3,4,7} C= {2,3,8,9} (AUB)= {1,2,3,4,5,6,7} (AUB) UC= {1,2,3,4,5,6,7,8,9} (BUC)= {1,2,3,4,7,8,9} AU(BUC)= {1,2,3,4,5,6,7,8,9} (AUB) UC = AU(BUC) {1,2,3,4,5,6,7,8,9} = {1,2,3,4,5,6,7,8,9}
  • 3. LEYES DE CONJUNTO LEY CONMUTATIVA AUB=BUA A={2,4,5,6} B={1,3,4,7} AUB={1,2,3,4,5,6,7} BUA={1,2,3,4,5,6,7} AUB = BUA {1,2,3,4,5,6,7} = {1,2,3,4,5,6,7} LEY DISTRIBUTIVA AU(B∩C)= (AUB) ∩(AUC) A={2,4,5,6} B= {1,3,4,7} C= {2,3,8,9} B∩C={3} AU(B∩C)= {2,3,4,5,6} AUB= {1,2,3,4,5,6,7} AUC= {2,3,4,5,6,8,9} (AUB) ∩(AUC)= {2,3,4,5,6} AU(B∩C) = (AUB) ∩(AUC) {2,3,4,5,6} = {2,3,4,5,6}
  • 4. LEYES DE CONJUNTO LEY DE MORGAN E={1,2,3,4,5,6,7,8,9,10} A= {1,3,5,9} B= {2,4,6,10} (AUB)´ =A´∩ B´ AUB= {1,2,3,4,5,6,7,9,10} (AUB)´= {7,8} A´= {2,4,6,7,8,10} B´= {1,3,5,7,8,9} A´∩ B´= {7,8} (AUB)´ =A´∩ B´ {7,8} = {7,8}