Question

Solve the rational inequality. Write the solution set in interval notation.

x+9
---- < 7
x+4

Answer 1

pain in the butt you have to start with
\[\frac{x+9}{x+4}-7<0\]

Answer 2

then get
\[\frac{x+9-7(x+4)}{x+4}<0\]
\[\frac{-6x-19}{x+4}<0\]

Answer 3

zeros are at -4 and \[\frac{19}{6}\] and it will be positive between them and negative outside of them so your answer is
\[x<-4\] or
\[x>\frac{19}{6}\]