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República Bolivariana De Venezuela
Ministerio Del Poder Popular Para La Educación Universitaria
Universidad Politécnica Territorial De Lara
Andrés Eloy Blanco
Programa nacional de formación en contaduría publica
Barquisimeto-Lara
Alumno:
Anthony Garcia
Sección: 0103
Pedro
Armijo
2
1. Definición de
Conjuntos
2. Operaciones
con conjuntos
3. Números
Reales
4.
Desigualdade
Pedro
Armijo
Definición de Conjuntos
Un conjunto es una colección bien definida
de objetos, entendiendo que dichos objetos
pueden ser cualquier cosa: números,
personas, letras, otros conjuntos, etc.
Algunos ejemplos son: A es el conjunto de
los números naturales menores que 5. B es
el conjunto de los colores verde, blanco y
rojo.
3
Pedro
Armijo
Operaciones con conjuntos
4
Pedro
Armijo
5
Números Reales
En esta lección vamos a ver los números reales
de una forma global. Estos números engloban a
los números naturales, enteros, decimales,
racionales e irracionales.
Todo número racional admite una expresión
decimal periódica.
Todo número irracional se define como una
expresión decimal no periódica.
Para hacer esta introducción al número real,
representamos por ℚ al conjunto de los números
racionales y por 𝕀 al conjunto de los números
irracionales
Pedro
Armijo
Desigualdades
Una inecuación es una desigualdad en la que
aparecen uno o más valores desconocidos.
Resolverla es encontrar el conjunto de todos los
números reales para los cuales es verdadera.
Para resolver una inecuación se utilizan las
propiedades de las desigualdades y de los números
reales que conducen a una desigualdad equivalente.
Esto significa que la nueva desigualdad tiene el
mismo conjunto de soluciones que la dada.
Todos los números que satisfacen la desigualdad
constituyen el conjunto solución.
Ejemplo. Encuentre los valores de x que verifican la
desigualdad 2x + 4 < 5.
Para resolver la inecuación se debe transformarla
paso a paso, aplicando propiedades hasta obtener
el conjunto solución.
6
Pedro
Armijo
Operaciones con
conjuntos
Las operaciones con conjuntos también
conocidas como álgebra de conjuntos, nos
permiten realizar operaciones sobre los
conjuntos para obtener otro conjunto. De las
operaciones con conjuntos veremos las
siguientes unión, intersección, diferencia,
diferencia simétrica y complemento.
8
Pedro
Armijo
Desigualdades con Valor Absoluto
9
Pedro
Armijo
Bibliografía
1. Ivorra, Carlos, Lógica y teoría de conjuntos, consultado el
18 de octubre de 2010.
2. Jech, Thomas. «Set Theory». Stanford Encyclopedia of
Philosophy (Fall 2011 edition) (en inglés). Consultado el
16 de diciembre de 2011.

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Numeros reales

  • 1. República Bolivariana De Venezuela Ministerio Del Poder Popular Para La Educación Universitaria Universidad Politécnica Territorial De Lara Andrés Eloy Blanco Programa nacional de formación en contaduría publica Barquisimeto-Lara Alumno: Anthony Garcia Sección: 0103
  • 2. Pedro Armijo 2 1. Definición de Conjuntos 2. Operaciones con conjuntos 3. Números Reales 4. Desigualdade
  • 3. Pedro Armijo Definición de Conjuntos Un conjunto es una colección bien definida de objetos, entendiendo que dichos objetos pueden ser cualquier cosa: números, personas, letras, otros conjuntos, etc. Algunos ejemplos son: A es el conjunto de los números naturales menores que 5. B es el conjunto de los colores verde, blanco y rojo. 3
  • 5. Pedro Armijo 5 Números Reales En esta lección vamos a ver los números reales de una forma global. Estos números engloban a los números naturales, enteros, decimales, racionales e irracionales. Todo número racional admite una expresión decimal periódica. Todo número irracional se define como una expresión decimal no periódica. Para hacer esta introducción al número real, representamos por ℚ al conjunto de los números racionales y por 𝕀 al conjunto de los números irracionales
  • 6. Pedro Armijo Desigualdades Una inecuación es una desigualdad en la que aparecen uno o más valores desconocidos. Resolverla es encontrar el conjunto de todos los números reales para los cuales es verdadera. Para resolver una inecuación se utilizan las propiedades de las desigualdades y de los números reales que conducen a una desigualdad equivalente. Esto significa que la nueva desigualdad tiene el mismo conjunto de soluciones que la dada. Todos los números que satisfacen la desigualdad constituyen el conjunto solución. Ejemplo. Encuentre los valores de x que verifican la desigualdad 2x + 4 < 5. Para resolver la inecuación se debe transformarla paso a paso, aplicando propiedades hasta obtener el conjunto solución. 6
  • 7.
  • 8. Pedro Armijo Operaciones con conjuntos Las operaciones con conjuntos también conocidas como álgebra de conjuntos, nos permiten realizar operaciones sobre los conjuntos para obtener otro conjunto. De las operaciones con conjuntos veremos las siguientes unión, intersección, diferencia, diferencia simétrica y complemento. 8
  • 10. Pedro Armijo Bibliografía 1. Ivorra, Carlos, Lógica y teoría de conjuntos, consultado el 18 de octubre de 2010. 2. Jech, Thomas. «Set Theory». Stanford Encyclopedia of Philosophy (Fall 2011 edition) (en inglés). Consultado el 16 de diciembre de 2011.