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2.7E: Desigualdades lineales y desigualdades de valor absoluto (Ejercicios)

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    Para los siguientes ejercicios, resolver la desigualdad. Escribe tu respuesta final en notación de intervalos.

    60. \(5 x-8<12\)
    61. \(-2 x+5>x-7\)
    62. \(\frac{x-1}{3}+\frac{x+2}{5} \leq \frac{3}{5}\)
    63. \(|3 x+2|+1 \leq 9\)
    64. \(|5 x-1|>14\)
    65. \(|x-3|<-4\)

    Para los siguientes ejercicios, resolver la desigualdad compuesta. Escribe tu respuesta en notación de intervalos.

    66. \(-4<3 x+2 \leq 18\)
    67. \(3 y<1-2 y<5+y\)

    Para los siguientes ejercicios, grafica como se describe.

    68. Grafica la función de valor absoluto y grafica la función constante. Observe los puntos de intersección y sombree el\(x\) eje que representa la solución establecida a la desigualdad. Muestra tu gráfica y escribe tu respuesta final en notación de intervalos. \[|x+3| \geq 5\nonumber\]
    69. Grafica ambas líneas rectas (siendo el lado izquierdo\(y^{-1}\) y el lado derecho y2) en los mismos ejes. Encuentra el punto de intersección y resuelve la desigualdad observando dónde es verdad comparando los\(y\) -valores de las líneas. Ver el intervalo donde la desigualdad es verdadera. \[x+3<3 x-4\nonumber\]

    This page titled 2.7E: Desigualdades lineales y desigualdades de valor absoluto (Ejercicios) was last modified on Sun, 30 Oct 2022 14:33:05 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.