Answer:
2<x<3
Step-by-step explanation:
Solve the system of two inequalities:
[tex]\left\{\begin{array}{l}4x-4<8\\9x+5>23\end{array}\right.[/tex]
First, solve each inequality separately:
1.
[tex]4x-4<8\\ \\4x-4+4<8+4\\ \\4x<12\\ \\x<\dfrac{12}{4}\\ \\x<3[/tex]
2.
[tex]9x+5>23\\ \\9x+5-5>23-5\\ \\9x>18\\ \\x>\dfrac{18}{9}\\ \\x>2[/tex]
Now, find all x that satisfy both inequalities:
[tex]\left\{\begin{array}{l}x<3\\ \\x>2\end{array}\right.\Rightarrow 2<x<3[/tex]
