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Sumario Los Intervalos y sus Tipos

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Explicación didáctica de los Intervalos y sus tipos

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  • August 3, 2023
  • 1
  • 2023/2024
  • Summary
  • Secondary school
  • Bachillerato
  • 6
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Intervalos

Concepto:

En matemáticas, un intervalo es un conjunto de números reales que están
comprendidos entre dos valores. Se indican generalmente por [a, b], donde "a" es el
valor inicial (extremo izquierdo del intervalo) y "b" es el valor final (extremo derecho
del intervalo). Los intervalos pueden ser abiertos o cerrados, lo que significa que
pueden o no incluir los valores límites. Aquí están los tipos comunes de intervalos:

● Intervalo cerrado: [a, b] incluye todos los números reales que son mayores o
iguales a "a" y menores o iguales a "b". Por ejemplo, el intervalo cerrado [2,
6] contiene los números 2, 3, 4, 5 y 6.



● Intervalo abierto: (a, b) incluye todos los números reales que son mayores
que "a" y menores que "b". En este caso, "a" y "b" no son parte del intervalo.
Por ejemplo, el intervalo abierto (1, 5) contiene los números 2, 3 y 4.



● Intervalo semiabierto o semicerrado: Pueden ser de dos tipos: [a, b) incluye
"a" y todos los números reales mayores que "a" y menores que "b". Por otro
lado, (a, b] incluye "b" y todos los números reales mayores que "a" y menores
que "b". Por ejemplo, el intervalo [0, 3) incluye 0, 1 y 2, mientras que el
intervalo (0, 3] incluye 1, 2 y 3.

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