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INECUACIONES
LINEALES
Enunciado Simbología Ejemplo
s
Una desigualdad no cambia
de sentido si se suma o se
resta un mismo número a
cada miembro.
𝑆𝑖 𝑎 < 𝑏, 𝑒𝑛𝑡𝑜𝑛𝑐𝑒𝑠
𝑎 ± 𝑐 < 𝑏 ± 𝑐
2 < 10
2 + 3 < 10 + 3
5 < 13
Una desigualdad no cambia
de sentido si se multiplican o
se dividen sus dos miembros
por un mismo número
positivo.
𝑆𝑖 𝑎 < 𝑏 , 𝑦 𝑐 es un
número positivo (𝑐 > 0),
entonces:
𝑎𝑐 < 𝑏𝑐
6 < 9
6 5 < 9 5
30 < 45
Una desigualdad cambia de
sentido cuando se multiplican
o se dividen sus dos
miembros por un número
negativo.
𝑆𝑖 𝑎 < 𝑏 , 𝑦 𝑐 es un
número negativo,
entonces:
𝑎𝑐 > 𝑏𝑐
3 < 12
3 −4 < 12 −4
−12 > −48
PROPIEDAD
ES
TIPOS DE
INTERVALOS
EJERCICIOS EN CLASE
TAREA EN CASA
La tarea se debe presentar hasta el día lunes de cada
semana.
Resolver los ejercicios 6, 7, 8, 10, 11 y 12 de la página 57, sección
Matemáticas, del texto integrado del Ministerio de Educación.
PARA ESTUDIANTES CON NEE
Realizar la representación gráfica de las siguientes inecuaciones
en la recta numérica y escribir el intervalo correspondiente:
𝑥 < −2
𝑥 > 6
𝑥 ≤ −4
𝑥 ≥ 15

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Decimo inecuaciones 2020-11-16 al 20

  • 2. Enunciado Simbología Ejemplo s Una desigualdad no cambia de sentido si se suma o se resta un mismo número a cada miembro. 𝑆𝑖 𝑎 < 𝑏, 𝑒𝑛𝑡𝑜𝑛𝑐𝑒𝑠 𝑎 ± 𝑐 < 𝑏 ± 𝑐 2 < 10 2 + 3 < 10 + 3 5 < 13 Una desigualdad no cambia de sentido si se multiplican o se dividen sus dos miembros por un mismo número positivo. 𝑆𝑖 𝑎 < 𝑏 , 𝑦 𝑐 es un número positivo (𝑐 > 0), entonces: 𝑎𝑐 < 𝑏𝑐 6 < 9 6 5 < 9 5 30 < 45 Una desigualdad cambia de sentido cuando se multiplican o se dividen sus dos miembros por un número negativo. 𝑆𝑖 𝑎 < 𝑏 , 𝑦 𝑐 es un número negativo, entonces: 𝑎𝑐 > 𝑏𝑐 3 < 12 3 −4 < 12 −4 −12 > −48 PROPIEDAD ES
  • 5.
  • 6. TAREA EN CASA La tarea se debe presentar hasta el día lunes de cada semana. Resolver los ejercicios 6, 7, 8, 10, 11 y 12 de la página 57, sección Matemáticas, del texto integrado del Ministerio de Educación. PARA ESTUDIANTES CON NEE Realizar la representación gráfica de las siguientes inecuaciones en la recta numérica y escribir el intervalo correspondiente: 𝑥 < −2 𝑥 > 6 𝑥 ≤ −4 𝑥 ≥ 15