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]
