kaleidmills
kaleidmills kaleidmills
  • 24-04-2020
  • Mathematics
contestada

Solve |2x - 6| > 10

A.{x|x < -8 or x > 2}
B.{x|x < -2 or x > 8}
C.{x|-2 < x < 8}

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ProfessorAlvarez
ProfessorAlvarez ProfessorAlvarez
  • 24-04-2020

[tex]\text{Solve the absolute value:}\\\\\text{(Remember, there are two outcomes)}\\\\\text{First outcome:}\\\\2x - 6 > -10\\\\\text{Add 6 to both sides}\\\\2x>-4\\\\\text{Divide:}\\\\x<-2\\\\\text{Second outcome:}\\\\2x - 6 > 10\\\\\text{Add 6 from both sides}\\\\2x>16\\\\\text{Divide both sides by 2}\\\\x>8\\\\\boxed{\text{Answer: B.}\,{x|x < -2 \,or \,x > 8}}[/tex]

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