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Solve for x:

37 < 425 - 43x < 40

Sagot :

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].

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