Given the inequalities:
[tex]\begin{gathered} -33<5x-8\rightarrow(1) \\ 52\le5x-8\rightarrow(2) \end{gathered}[/tex]
The given inequalities can be written as follows:
[tex]-33<5x-8\le52[/tex]
Add 8 to all terms:
[tex]\begin{gathered} -33+8<5x-8+8\le52+8 \\ -25<5x\le60 \end{gathered}[/tex]
Divide all terms by 5:
[tex]\begin{gathered} -\frac{25}{5}<\frac{5x}{5}\le\frac{60}{5} \\ \\ -5So, the inequality notation will be:[tex]-5And the graph of the number line will be as follows:
