Question

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

Answer 1

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

Answer 2

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