The document provides examples of applying the five laws of sets to various sets. It defines several sets, such as set A containing the elements 2, 4, 6, etc. and set B containing 3, 6, 9, etc. It then performs union, intersection and difference operations on these sets, such as taking the union of A and B, and intersection of B and C. The results of each operation are displayed to demonstrate the five laws of sets.

1. LAS 5 LEYES DE CONJUNTOS
Ejercicios
Por Miguel Carrera C.I 25.687.509
Barcelona 19 de noviembre del 2014

3. AuA=(2,4,6,8,10,12,16,18,20)u(2,4,6,8,10,12,16,18,20)
Resultado:
A=(2,4,6,8,10,12,16,18,20)
B∩B=(3,6,9,12,15,18) ∩(3,6,9,12,15,18)
Resultado B=(3,6,9,12,15,18)

4. AuB={2,4,6,8,10,12,16,18,20}u{3,6,9,12,15,18}
={2,3,4,6,8,9,10,12,15,16,18,20}
(AuB)u C={2,3,4,6,8,9,10,12,15,16,18,20}U{4,8,12,16,20}
={2,3,4,6,8,9,12,15,16,18,20}
Resultado ={2,3,4,6,8,9,12,15,16,18,20}
BuC={3,6,9,12,15,18} U{4,8,12,16,20}={3,4,6,8,9,12,15,16,15,20}
Au(BuC)={2,4,6,8,10,12,16,18,20}u{3,4,6,8,9,12,15,16,15,20}
={2,4,6,8,9,10,12,15,16,18,20}
Resultado ={2,3,4,6,8,9,12,15,16,18,20}

5. AuB={2,4,6,8,10,12,16,18,20}u{3,6,9,12,15,1
8}={2,3,4,6,8,9,10,12,15,16,18,20}
BuA={3,6,9,12,15,18}u{2,4,6,8,10,12,16,18,2
0}
={2,3,4,6,8,9,10,12,15,16,18,20}

6. B∩C={3,6,9,12,15,18} ∩{4,8,12,16,20}={12}
Au(B ∩C)={2,4,6,8,10,12,16,18,20}U{12} ={2,4,6,8,10,12,16,18,20}
Resultado={2,4,6,8,10,12,16,18,20}
AuB={2,4,6,8,10,12,16,18,20}u{3,6,9,12,15,18}={2,3,4,6,8,9,10,12,15,16,18,20}
AuC={2,4,6,8,10,12,16,18,20}u{4,8,12,16,20}={2,4,6,8,10,12,16,18,20}
={2,4,6,8,10,12,16,18,20}

7. A∩B={2,4,6,8,10,12,16,18,20}u{3,6,9,12,15,18}
={2,4,6,8,10,12,16,18,20}
AUB={2,4,6,8,10,12,16,18,20}U {3,6,9,12,15,18}
={3,6,9,12,15,18}
A ∩ ∅ = ∅