Question

Solve for x:

37 < 425 - 43x < 40

Answer 1

Given:

The compound inequality is:

`37<425-43x<40`

To find:

The solution for x.

Solution:

We have,

`37<425-43x<40`

Subtract 425 from each side.

`37-425<425-43x-425<40-425`

`-388<-43x<-385`

Divide each side by -43 and change the signs of inequalities.

`(-388)/(-43)>(-43x)/(-43)>(-385)/(-43)`

`(388)/(43)>x>(385)/(43)`

Therefore, the value of x is
`(388)/(43)>x>(385)/(43)`.