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Quiz de Inecuaciones

Quiz

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Desafía tus habilidades con inecuaciones.

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Peru

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Quiz de Inecuaciones
 

Quiz de InecuacionesOnline version

Desafía tus habilidades con inecuaciones.

by JUSTO ZAVALETA GONZALES
1

Resuelve: 3x - 5 < 7. ¿Qué rango de x es válido?

2

Si |2y - 3| > 5, ¿cuál es el rango de y?

3

Resuelve: -4 ≤ 2t + 6 < 10. ¿Qué valores admite t?

4

¿Qué solución tiene 5 - z ≥ 2z + 1?

5

Resuelve la inecuación 1/(x-2) > 0. ¿Dónde es positiva?

6

Si a ≤ b y b < c, ¿qué se puede decir de a y c?

7

Resuelve: -x/3 ≤ 2. ¿Qué valores de x?

8

Resuelve: x^2 - 5x + 6 < 0. ¿Qué intervalos de x son?

9

Si x ∈ R y x^2 - 1 ≤ 0, ¿qué valores de x existen?

10

Resuelve: 2|k| - 4 ≥ 0. ¿Qué k valen?

Explicación

Restas 7 y sumas 5, luego divides por 3; inequality conserva dirección.

Descomponemos en dos casos: 2y-3>5 y -(2y-3)>5.

Aplicar doble desigualdad restando 6 y luego dividiendo entre 2.

Reorganiza: 5-1 ≥ 2z+z → 4 ≥ 3z → z ≤ 4/3.

Cociente positivo cuando numerador y denominador tienen mismos signos.

Transitiva de desigualdades en cadena: a ≤ b < c implica a < c.

Multiplica por -3 invirtiendo la desigualdad; (-3)(-2) ≤? → x ≥ -6.

Factoriza: (x-2)(x-3) <0, pasa por las raíces 2 y 3.

La desigualdad (x-1)(x+1) ≤ 0 está entre las raíces.

Aislamos |k|: 2|k| ≥ 4 → |k| ≥ 2.

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