Respuesta :

Answer:

x < 2

Step-by-step explanation:

9x - 4x + 14 < 3 ( x + 6 )

5x + 14 < 3x + 18

5x - 3x < 18 - 14

2x < 4

x < 4 / 2

x < 2

Answer:

[tex]x<2[/tex]

Step-by-step explanation:

[tex]9x-4x+14<3\left(x+6\right)[/tex]

Combine like terms, we have, 9x - 4x= 5x

[tex]5x+14<3\left(x+6\right)[/tex]

Now we need to expend 3(x+6) using the distributive law, we will get:

[tex]3x+18[/tex]

[tex]5x+14<3x+18[/tex]

Subtract 14 from both sides:

[tex]5x+14-14<3x+18-14[/tex]

[tex]5x<3x+4[/tex]

Now Subtract 3x from both sides, then divide both sides by 2,

[tex]5x-3x<3x+4-3x[/tex]

[tex]2x<4[/tex]

[tex]\frac{2x}{2}<\frac{4}{2}[/tex]

[tex]x<2[/tex]