garcia78g garcia78g
  • 08-11-2019
  • Mathematics
contestada

4 - 6x < 2(2x + 3)
Cómo resolver esta ecuación ?

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 20-11-2019

Answer:

[tex]x>-\frac{1}{5}[/tex]

Step-by-step explanation:

This is an inequality ("<" -- less than sign). We can solve this as an equation solving process.

Remember the distributive property:

a(b+c) = ab + ac

This is important for right side of the equation.

Let's solve:

[tex]4-6x<2(2x+3)\\4-6x<2(2x)+2(3)\\4-6x<4x+6\\4-6<4x+6x\\-2<10x\\\frac{-2}{10}<x\\-\frac{1}{5}<x[/tex]

So x is greater than -1/5. we can write:

[tex]x>-\frac{1}{5}[/tex]

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