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Mapa conceptual sobre desigualdades matemáticas
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Mapa conceptual sobre desigualdades matemáticas
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DesigualdadesDos expresiones algebraicas conectadas a través de los signos resultando
ambas expresiones de valores distintos.
Signos de Desigualdades Desigualdades
Propiedades Valor A
desigualdad Lineales Cuadráticas
Estrictas No estrictas Desigualdad compuesta por Desigualdades donde la variable Desigualdad qu
Si se suma o resta ambos expresiones lineales con al de valor abs
miembros de la expresión de mayor exponente tiene
por el mismo valor, la menos una variable. grado dos variable
desigualdad se mantiene.
Menor que < Menor o igual que
≤
100≥20x+15 | 3x+
x2+2 x-3>0
−1x+13≤0−1x+13≤0 | 5x-
(x+2)(x+3) +3(x+2)<0
Mayor o igual que x−9>−5x+10
Mayor que > 3x2 >2x2+5x+6
≥ Si se multiplica o divide 2x+3<10
ambos miembros de la
expresión por el mismo
valor, la desigualdad se
mantiene.
EJEMPLO
EJEMPLO 𝑿𝟐 – 2x > 3
x-53 < -30 2
𝑋 – 2x- 3 >0
x-53+53 < -30+53 (x – 3) (x+1) = 0 IN
x < -30 x > 3 x < -1
INTERVALO (-∞,-30) INTERVALO (-∞,-1) U (3,∞)
Si se multiplica o divide ambos
miembros de la expresion por
un número negativo, la
desigualdad cambia de sentido.
Ingrid Vale
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