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

Question

asked Mar 7, 2020 115k views

1 Answer

Acaz Souza · Answer 1 · 2020-03-14T06:48:34+0000

Answer:

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:

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