Given:
The compound inequality is:
[tex]37<425-43x<40[/tex]
To find:
The solution for x.
Solution:
We have,
[tex]37<425-43x<40[/tex]
Subtract 425 from each side.
[tex]37-425<425-43x-425<40-425[/tex]
[tex]-388<-43x<-385[/tex]
Divide each side by -43 and change the signs of inequalities.
[tex]\dfrac{-388}{-43}>\dfrac{-43x}{-43}>\dfrac{-385}{-43}[/tex]
[tex]\dfrac{388}{43}>x>\dfrac{385}{43}[/tex]
Therefore, the value of x is [tex]\dfrac{388}{43}>x>\dfrac{385}{43}[/tex].
