Answer:
The solution to the inequality is:
[tex]-18A sketch of the graph is shown below:
Explanation:
Given
[tex]-1<\frac{1}{3}y+5<3[/tex]
Separarating this into two inequalities, we have:
[tex]\begin{gathered} -1<\frac{1}{3}y+5 \\ \\ \\ \frac{1}{3}y+5<3 \end{gathered}[/tex]
Solving the inequalities one after the other:
[tex]\begin{gathered} -1<\frac{1}{3}y+5 \\ \\ -1-5<\frac{1}{3}y \\ \\ -6<\frac{1}{3}y \\ \\ -6\times3-18 \end{gathered}[/tex]
For the other part:
[tex]\begin{gathered} \frac{1}{3}y+5<3 \\ \\ \frac{1}{3}y<3-5 \\ \\ \frac{1}{3}y<-2 \\ \\ y<-2\times3=-6 \end{gathered}[/tex]
Therefore, the solution to the inequality is:
[tex]-18
