Respuesta :

Answer:

x < - 2

Step-by-step explanation:

[tex]-8x - 10 > 7x + 20[/tex]

First subtract 7x from both sides of the inequality

That's

[tex] - 8x - 7x - 10 > 7x - 7x + 20 \\ - 15x - 10 > 20[/tex]

Add 10 to both sides of the inequality

[tex] - 15x + 1 0 - 10 > 20 + 10 \\ - 15x > 30[/tex]

Divide both sides by - 15

[tex] \frac{ - 15x}{ - 15} > - \frac{30}{15} [/tex]

Since the denominator is negative the sign will change

We have the final answer as

x < - 2

Hope this helps you