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Ecuaciones e Inecuaciones: Reto

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Ecuaciones e Inecuaciones: Reto

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Quiz sobre ecuaciones e inecuaciones

Created by

JEFFERSON YAMBAY
JEFFERSON YAMBAY
Ecuador

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Ecuaciones e Inecuaciones: Reto
 

Ecuaciones e Inecuaciones: RetoOnline version

Quiz sobre ecuaciones e inecuaciones

by JEFFERSON YAMBAY
1

Resolver: 3x + 5 = 20; ¿cuál es x?

2

Si 2x − 7 > 5, ¿cuál es la solución en números reales?

3

Inecuación: -4x ≤ 12. ¿Qué intervalo tiene la solución?

4

Resolver: x/3 = 7; ¿valor de x?

5

Para la ecuación 5y − 2 = 3y + 8, ¿y resulta?

6

Si |x − 4| = 7, ¿cuáles son las soluciones?

7

Inecuación: |2x+1| < 5, ¿intervalo de x?

8

Resolver: 1 − 3x ≤ 4. ¿x?

9

Ecuación lineal: 7z + 2 = 3z + 20; ¿z?

10

Si 3a − 9 = 0, ¿valor de a?

Explicación

Sustitución: 3·5+5=20. Despejar: 3x=15 → x=5.

Despeja: 2x>12 ⇒ x>6.

Divide por -4 invirtiendo el signo: x ≥ -3.

Multiplica ambos lados por 3.

Despeja: 2y=10 → y=5.

Separar: x−4=7 o x−4=−7.

Ceros en -1/2? Desarrolla: -5<2x+1<5 → -6<2x<4 → -3

Despeja: −3x ≤ 3 → x ≥ −1.

Reorganiza: 4z=18 → z=4.5? Wait: 7z-3z=20-2 → 4z=18 → z=4.5. Correct answer should be 4.5. Adjust.

Despeja: 3a=9 → a=3.

 
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