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Inecuaciones de Primer Grado

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Juego de intervalos e inecuaciones

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Inecuaciones de Primer Grado
 

Inecuaciones de Primer GradoOnline version

Juego de intervalos e inecuaciones

by Ian Estuardo Santos Monterroso
1

Si x ∈ (2,5], ¿qué inecuación describe el intervalo?

2

Convierte x < 7 en una inecuación:

3

Interpreta x ≤ -3 o x ≥ 4 como inecuaciones separadas. ¿Cuál es la correcta?

4

De intervalos a inecuación: (−∞, 2] ∪ [6, ∞).

5

Si la inecuación es 3x − 1 < 10, ¿qué intervalo describe?

6

Convierte la inecuación x ≥ −4 a intervalo.

7

Disyunción de intervalos: x ∈ (−∞, −1] ∪ (3, ∞). ¿Qué inecuación describe?

8

De inecuación 2x + 5 ≥ 11 a intervalo:

9

Si x ∈ (−∞, 0] ∪ [2, ∞), ¿qué inecuación representa?

Explicación

La notación de intervalo se traduce a 2 < x ≤ 5; otras opciones rompen uno de los extremos.

La desigualdad conservando el símbolo correcto del extremo.

Se refiere a unión de intervalos abiertos en -3 y 4.

Corresponde a unión de dos mitades en 2 y 6.

Despeje: 3x < 11 → x < 11/3.

El extremo −4 está incluido; es cierre en −4.

Se trata de unión de dos rangos separados.

Despeje: 2x ≥ 6 → x ≥ 3.

Unión de dos intervalos con extremos incluidos según corchetes.

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