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About this activity

Desafía tus ideas sobre desigualdades

Created by

Mireya Margot Coello Morán
Mireya Margot Coello Morán
Ecuador

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Inecuaciones: QuizOnline version

Desafía tus ideas sobre desigualdades

by Mireya Margot Coello Morán
1

Si 3x - 5 < 10, ¿qué valores de x satisfacen la desigualdad?

2

¿Qué símbolo representa una desigualdad cerrada en la recta numérica?

3

Resolver: -2x > 6. ¿Qué valor de x cumple?

4

Si 1/2 x ≥ -4, ¿x debe ser mayor o igual a qué?

5

¿Cuál es la solución de |x - 3| ≤ 5?

6

Una desigualdad compuesta: -4 ≤ 3x - 1 < 11. ¿Qué rango de x resulta?

7

Si x^2 - 5x < 0, ¿en qué intervalos es verdadera?

8

Una desigualdad de producto: (x-2)(x+3) ≥ 0. ¿Dónde es verdadera?

9

Solución de la desigualdad racional: (x+1)/(x-4) > 0. ¿Dónde es positiva?

10

¿Qué representa una solución de una desigualdad en una recta numérica?

Explicación

La desigualdad se resuelve sumando 5 y luego dividiendo por 3; x < 5.

Los símbolos ≤ y ≥ incluyen el punto en la recta.

Divides ambos lados por -2 invirtiendo la dirección: x < -3.

Multiplica ambos lados por 2.

La distancia al 3 es ≤5, centro 3, intervalo [-2,8].

Resolviendo dos partes: -3 ≤ 3x ≤ 12, luego -1 ≤ x ≤ 4, ajustando límites.

Factoring x(x-5) <0, productos de signos contrarios.

Producto no negativo: fuera de intervalos entre raíces.

Ceros y verticales signos del cociente definen intervalos.

La solución de desigualdad es un intervalo o unión de intervalos.

 
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