munchiesgud munchiesgud
  • 02-10-2020
  • Mathematics
contestada

For what valuels of x is the equation |4x + 2| = x + 8 TRUE?


Respuesta :

ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 02-10-2020

Answer:

[tex]x=-2\quad \mathrm{or}\quad \:x=2[/tex]

Step-by-step explanation:

[tex]|4x + 2| = x + 8 \\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{Solve\:the\:inequality\:for\:each\:interval:}\\\\\mathrm{For\:}x<-\frac{1}{2}:\quad x=-2\\\\\mathrm{For\:}x\ge \:-\frac{1}{2}:\quad x=2\\\\\mathrm{Combine\:Solutions:}\\\\x=-2\quad \mathrm{or}\quad \:x=2[/tex]

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