vio64 vio64
  • 01-11-2018
  • Mathematics
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What is the solution for inequality |2n+5|>7

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gmany
gmany gmany
  • 04-11-2018

[tex]|2n+5|>7\iff2n+5 > 7\ \vee\ 2n+5 < -7\qquad|\text{subtract 5 from both sides}\\\\2n > 2\ \vee\ 2n < -12\qquad|\text{divide both sides by 2}\\\\n > 1\ \vee\ n < -6\\\\Answer:\\n < -6\ or\ n > 1\\n\in(-\infty,\ -6)\ \cup\ (1,\ \infty)\\a\ picture[/tex]

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