Question

Solve the inequality -8x - 10 > 7x + 20.

OX-30
Ox>-2
Ox>-30
0x<-2

Answer 1

x < - 2

Explanation:

`-8x - 10 > 7x + 20`

First subtract 7x from both sides of the inequality

That's

`- 8x - 7x - 10 > 7x - 7x + 20 \\ - 15x - 10 > 20`

Add 10 to both sides of the inequality

`- 15x + 1 0 - 10 > 20 + 10 \\ - 15x > 30`

Divide both sides by - 15

`( - 15x)/( - 15) > - (30)/(15)`

Since the denominator is negative the sign will change

We have the final answer as

x < - 2

Hope this helps you