Answer:
[tex]2<x<4[/tex]
Step-by-step explanation:
Please find the attachment for graph of solution.
We have been given a compound inequality [tex]-2<4x-10<6[/tex]. 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:
[tex]-2+10<4x-10+10<6+10[/tex]
[tex]8<4x<16[/tex]
Divide each side by 4:
[tex]\frac{8}{4}<\frac{4x}{4}<\frac{16}{4}[/tex]
[tex]2<x<4[/tex]
Therefore, the solution for our given inequality is [tex]2<x<4[/tex].
