Question

What are the solutions of the compound inequality? graph the solutions. -2 < 4x - 10 < 6

Answer 1

2<x<4 because graphing

Answer 2

`2<x<4`

Explanation:

Please find the attachment for graph of solution.

We have been given a compound inequality
`-2<4x-10<6`. We are asked to solve and graph our given inequality.

To solve our given inequality, we need to separate variable x on middle of inequality as:

Add 10 on each side:

`-2+10<4x-10+10<6+10`

`8<4x<16`

Divide each side by 4:

`(8)/(4)<(4x)/(4)<(16)/(4)`

`2<x<4`

Therefore, the solution for our given inequality is
`2<x<4`.