Respuesta :
Answer:
x > 6
Step-by-step explanation:
Inequality:
4(3x + 2) < 5(3x − 2)
Solving for x:
- 12x+8 < 15x-10
- 12x-15x < -10-18
- -3x < - 18
- x < -18/-3
- x > 6
[tex]\bf{4(3x + 2) < 5(3x - 2)}[/tex]
Simplify both sides of the inequality.
- [tex]\bf{12x+8 < 15x-10}[/tex]
Subtract 15x from both sides.
- [tex]\bf{12x+8-15x < 15x-10-15x}[/tex]
- [tex]\bf{-3x+8 < -10}[/tex]
Subtract 8 from both sides.
- [tex]\bf{-3x+8-8 < -10-8 }[/tex]
- [tex]\bf{-3x < -18}[/tex]
Divide both sides by -3.
- [tex]\bf{\dfrac{-3x}{-3} < \dfrac{-18}{-3} }[/tex]
- [tex]\bf{x > 6 \ \ \to \ \ \ Answer}[/tex]
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]