The funtion given is
[tex]\frac{6}{8}<\frac{x+4}{4}<\frac{28}{4}[/tex]
but if a < u < b, then a < u and u < b
[tex]\begin{gathered} \frac{6}{8}<\frac{x+4}{4} \\ \frac{3}{4}<\frac{x+4}{4} \\ 3-1 \end{gathered}[/tex]
and
[tex]\begin{gathered} \frac{x+4}{4}<\frac{28}{4} \\ x+4<28 \\ x<28-4 \\ x<24 \end{gathered}[/tex]
let's combine the intervals at this stage andmerge the overlapping intervals
[tex]-1the interval notation can be represented as[tex](-1,24)[/tex]
From the calculations above the interval notation of the function is given as (-1, 24)
