what are the solutions of the compound inequality? graph the solutions. -2 < 4x - 10 < 6
Answer:
\(2
Step-by-step 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:
\(\frac{8}{4}<\frac{4x}{4}<\frac{16}{4}\)
\(2
Therefore, the solution for our given inequality is \(2