Respuesta :

For this case we have the following inequality:

[tex]2 (x-4) <5x + 4[/tex]

We apply distributive property on the left side of inequality:

[tex]2x-8 <5x + 4[/tex]

We subtract 5x on both sides of the inequality:

[tex]2x-5x-8 <4\\-3x-8 <4[/tex]

We add 8 to both of the inequality:

[tex]-3x <4 + 8\\-3x <12[/tex]

We divide between 3 on both sides of the inequality:

[tex]-x <\frac {12} {3}\\-x <4[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes.

[tex]x> -4[/tex]

Answer:

[tex]x> -4[/tex]