Respuesta :

Answer:

[tex]\boxed {x < -4}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]7(x + 3) < 5x + 13[/tex]

Use Distributive Property:

[tex]7(x + 3) < 5x + 13[/tex]

[tex]7x + 21 < 5x + 13[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]7x[/tex]:

[tex]7x + 21 - 5x < 5x - 5x + 13[/tex]

[tex]2x + 21 < 13[/tex]

Subtract both sides by [tex]21[/tex]:

[tex]2x + 21 - 21 < 13 - 21[/tex]

[tex]2x < -8[/tex]

Divide both side by [tex]2x[/tex]

[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]

[tex]\boxed {x < -4}[/tex]

the answer to this is x<-4