Question

Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.

Answer 1

The funtion given is

`(6)/(8)<(x+4)/(4)<(28)/(4)`

but if a < u < b, then a < u and u < b

`\begin{gathered} (6)/(8)<(x+4)/(4) \\ (3)/(4)<(x+4)/(4) \\ 3-1 \end{gathered}`

and

`\begin{gathered} (x+4)/(4)<(28)/(4) \\ x+4<28 \\ x<28-4 \\ x<24 \end{gathered}`

let's combine the intervals at this stage andmerge the overlapping intervals

`-1the interval notation can be represented as[tex](-1,24)`

From the calculations above the interval notation of the function is given as (-1, 24)