Question

Solve for X.
−68 < 8x − 4 < −36

Answer 1

You want to get x in the middle by itself.

Add 4 to all pieces.

-68 < 8x-4 <-36
+4 +4 +4

-64<8x <-32

Divide everything by 8

-64/8<8x/8<-32/8

-8< x <-4

Answer:: all the number between -8 and -4 but not counting them

Answer 2

The required solution is
`-8<x<-4` in interval notation (-8,-4).

Explanation:

Consider the provided inequality.

`-68 < 8x - 4 < -36`

We need to solve the inequity for x.

Add 4 to the provided inequality.

`-68+4<8x-4+4<-36+4\\-64<8x<-32`

Divide both the sides by 8.

`-8<x<-4`

Thus, the value of x is greater than -8 but less than -4.

The required solution is
`-8<x<-4` in interval notation (-8,-4).