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Desigualdades en Acción

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Desigualdades en Acción

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Desafía tus habilidades con desigualdades

Created by

Jose André Monterroso
Jose André Monterroso
Guatemala

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Desigualdades en Acción
 

Desigualdades en AcciónOnline version

Desafía tus habilidades con desigualdades

by Jose André Monterroso
1

Si 3x - 4 > 8, ¿qué valor de x cumple la desigualdad?

2

¿Cuál es la solución de x+5 ≤ -1?

3

Si -2x + 7 ≥ 1, ¿cuál es la solución para x?

4

La desigualdad 4x - 9 < 7 se resuelve como:

5

¿Qué intervalo representa la solución de x² < 9?

6

Si 1 - 2x ≤ 5, la solución es:

7

¿Qué significa la desigualdad 3y > 9 en términos de y?

8

La solución de |x - 1| < 4 es:

9

Si 2x+3y ≤ 12 y x≥0, y≥0, ¿qué punto está en la región?

10

La desigualdad 5x - 2y > 10 define una región en el plano. ¿Qué tiro describe una solución?

Explicación

3x>12, x>4; la solución es x>4.

Restamos 5: x ≤ -6.

-2x ≥ -6, divide por -2 invierte: x ≤ 3.

4x<16, x<4.

Raíz: |x|<3.

-2x ≤ 4, x ≥ -2.

Divide entre 3: y>3.

(-4, 2) sería incorrecto; corrección: -3

Sustituye y verifica: 0+3*4=12 cumple.

La pendiente negativa y el signo mayor que ubican la región por encima.

 
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