lemonfloor lemonfloor
  • 20-09-2020
  • Mathematics
contestada

Which of the following values are solutions to the inequality 3-2x <-10

Respuesta :

ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 20-09-2020

Answer:

[tex]x>\frac{13}{2}[/tex]

Step-by-step explanation:

[tex]3-2x <-10\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\3-2x-3<-10-3\\\\Simplify\\-2x<-13\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-2x\right)\left(-1\right)>\left(-13\right)\left(-1\right)\\\\Simplify\\2x>13\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}>\frac{13}{2}\\\\Simplify\\x>\frac{13}{2}[/tex]

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