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Inecuaciones: reto rápido

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Desafío de inecuaciones

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Inecuaciones: reto rápido
 

Inecuaciones: reto rápidoOnline version

Desafío de inecuaciones

by Gabriela Castro
1

1) Si x-3>5, ¿cuál es la solución?

2

2) 2x+4≤-6. ¿Qué x cumple?

3

3) 3x-2≥7. ¿Solución?

4

4) |x-4|<3, ¿qué rango obtiene?

5

5) -x+5>2, ¿x?

6

6) 1-2|x|≤-1, ¿solución?

7

7) 5x-2>3x+4, ¿x?

8

8) -4 ≤ 2x+1 < 7, ¿intervalo de x?

9

9) x/3 > -2, ¿x?

10

10) |2x-1|≥3, ¿solución?

Explicación

Restas 3 y simplificas la desigualdad. El valor debe ser mayor que 8.

Resta 4 y divide por 2 conservando el signo.

Suma 2 y divide entre 3, manteniendo ≥.

Descompones en -3

Traslada y divide por -1 invirtiendo la desigualdad.

Aísla |x|: |x|≥1; por ello x en dos ramas.

Pasa términos y divide por 2.

Divide la desigualdad a cada extremo tras restar 1 y dividir entre 2.

Multiplica por 3 conservando la dirección de la desigualdad.

Descompones en dos casos: 2x-1≥3 o 2x-1≤-3.

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