cg200000 cg200000

25-07-2017
Mathematics

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What is the solution to the inequality l2n+5l > 1

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konrad509 konrad509

25-07-2017

[tex]|2n+5| \ \textgreater \ 1\\ 2n+5\ \textgreater \ 1 \vee 2n+5\ \textless \ -1\\ 2n\ \textgreater \ -4 \vee 2n\ \textless \ -6\\ n\ \textgreater \ -2 \vee n\ \textless \ -3\\ n\in(-\infty,-3)\cup(-2,\infty)[/tex]

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choixongdong choixongdong

25-07-2017

l2n+5l > 1

(2n+5) > 1
2n > - 4
n > -2

-(2n+5) > 1
-2n - 5 > 1
-2n > 6
n < -3

answer
n<-3 or n>-2

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