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En la siguiente presentación se explica lo que es una inecuación, conjunto solución y los diferentes tipos de intervalos.

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intervalos
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Denisse Samame
Denisse Samame
Spain

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InecuacionesOnline version

En la siguiente presentación se explica lo que es una inecuación, conjunto solución y los diferentes tipos de intervalos.

by Denisse Samame
1

INECUACIONES

2

Definición

INECUACIONES

Se denomina inecuación a toda desigualdad condicional que contiene una o más cantidades desconocidas, llamadas incógnitas, y que sólo es verdadera para determinados valores de dichas incógnitas.

Forma general:

P(x) > 0

P(x) < 0

P(x) ≥ 0

P(x) ≤ 0

3

Conjunto Solución

SOLUCIÓN PARTICULAR:

Es aquel valor (o valores) de la incógnita (o incógnitas) que verifica la inecuación.
Ejemplo:

  • En la inecuación 2x+3 > x+5, una solución particular es x=5 pues 2(5)+3 > 10 es cierto.


CONJUNTO SOLUCIÓN:

Es aquel conjunto que agrupa a todas las soluciones particulares (si existen) de una inecuación.

4

Intervalos

5

Tipos de intervalos

6

Intervalos acotados

7

Intervalos no acotados

8

Ejemplos

9

Operaciones con intervalos