Given:
The compound inequality is
[tex]85\leq 17m\leq 136[/tex]
To find:
The solution of given compound inequality.
Solution:
We have,
[tex]85\leq 17m\leq 136[/tex]
On dividing all sides by 17, we get
[tex]\dfrac{85}{17}\leq \dfrac{17m}{17}\leq \dfrac{136}{17}[/tex]
[tex]5\leq m\leq 8[/tex]
Therefore, the solution of given compound inequality is [tex]5\leq m\leq 8[/tex]. It can be written as [5,8].