calliejeanschoff calliejeanschoff
  • 01-11-2019
  • Mathematics
contestada

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

Respuesta :

frika
frika frika
  • 05-11-2019

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]

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