Question

What is the solution for inequality |2n+5|>7

Answer 1

`|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`