Question

4x - 4 < 8 AND 9x + 5 > 23

Answer 1

2<x<3

Explanation:

Solve the system of two inequalities:

`\left\{\begin{array}{l}4x-4<8\\9x+5>23\end{array}\right.`

First, solve each inequality separately:

1.

`4x-4<8\\ \\4x-4+4<8+4\\ \\4x<12\\ \\x<(12)/(4)\\ \\x<3`

2.

`9x+5>23\\ \\9x+5-5>23-5\\ \\9x>18\\ \\x>(18)/(9)\\ \\x>2`

Now, find all x that satisfy both inequalities:

`\left\{\begin{array}{l}x<3\\ \\x>2\end{array}\right.\Rightarrow 2<x<3`