This document contains examples solving 5 laws of sets: identity, associative, commutative, distributive, and identity. For each law, sets A, B, and C are defined with numeric elements. The operations of union and intersection are applied to demonstrate that the sets satisfy the given set law. A solution is provided for each of the 5 laws through algebraic set operations and notation.

1. Instituto Universitario Politécnico “Santiago
Mariño”
Edo. Anzoátegui
Especialidad: Ingeniería en Sistema
Autor:
Jesús Guerra
CI: 24520363

2. Herramientas:
 Conjuntos (Video) URL
 Conjuntos y Técnicas de Conteo
Archivo
 Teoría de Conjuntos, Documento
ActiviWdaodrd:
 Resolver 5 Leyes de Conjuntos.
 Realizar una Presentación en Power Point y Subir
la Presentación a SlideShare.

3. NUMERO 1
DE
IDEMPOTENCI
A
A= 5, 10, 15, 20, 25
B= 4, 8, 12, 16, 20
C= 3, 6, 9, 12, 15
A u A = A
A = 5, 10, 15, 20, 25
A u A = 5, 10, 15, 20, 25
U
5, 10, 15, 20, 25
A u A = 5, 10, 15, 20, 25

4. NUMERO 2
ASOCIATIVA
A= 5, 10, 15, 20, 25
B= 4, 8, 12, 16, 20
C= 3, 6, 9, 12,
(A u B) u C = A u (B u C)15
(B u C) = 4, 8, 12, 16, 20 U 3, 6, 9, 12, 15
(B u C) = 3, 4, 6, 8, 9, 12, 15, 16, 20
A u (B u C) = 5, 10, 15, 20, 25 U 3, 4, 6, 8, 9, 12, 15, 16,
20
A u (B u C) = 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 20, 25

5. NUMERO 3
CONMUTATIVA
A= 5, 10, 15, 20, 25
B= 4, 8, 12, 16, 20
A u B = B u A
A u B = 5, 10, 15, 20, 25 U 4, 8, 12, 16, 20
A u B = 4, 5, 8, 10, 12, 15, 16, 20, 25
B u A= 4, 8, 12, 16, 20 U 5, 10, 15, 20, 25
B u A = 4, 5, 8, 10, 12, 15, 16, 20, 25

6. NUMERO 4
A= 5, 10, 15, 20, 25 B= 4, 8, 12, 16, 20
DISTRIBUTIVA
C= 3, 6, 9, 12, 15
A u (B n C) = (A u B) n (A u C)
(A u B) = 5, 10, 15, 20, 25 U 4, 8, 12, 16, 20
(A u B) = 4, 5, 8, 10, 12, 15, 16, 20, 25
(A u C) = 5, 10, 15, 20, 25 U 3, 6, 9, 12, 15
(A u C) = 3, 5, 6, 9, 10, 12, 15, 20, 25
(A u B) n (A u C) = 4, 5, 8, 10, 12, 15, 16, 20, 25 n 3, 5, 6, 9, 10, 12, 15,
20, 25
(A u B) n (A u C) = 5, 10, 12, 15, 20, 25

7. NUMERO 5
DE IDENTIDAD A= 5, 10, 15, 20, 25
A u = A
A u = 5, 10, 15, 20 25 u
A u = 5, 10, 15, 20 25