Question

What is the solution set of this inequality?
–2|n| + 3 > –7

Answer 1

\(\normalsize\color{blue}{ –2|n| + 3 > –7}\) 1) subtract 3 from both sides,
2) divide both sides by `-2` and flip the sign,

tell me what you get after that.... then use the rule that states
\(\normalsize\color{blue}{ |x| > c~~~⇒~~~~~~~x>c ~~~~{\rm{and}~~~~x<-c} }\) and
\(\normalsize\color{blue}{ |x| < c~~~⇒~~~~~~~-c<x<c}\)

Answer 2

tell me if you need more help.

Answer 3

everything between (-5,5). thanks a lot

Answer 4

I got it right

Answer 5

:)