Question

What is the answer to this problem -2x – 4 < 3x + 21

Answer 1

Start with

`-2x-4 < 3x+21`

Add 2x to both sides:

`-4 < 5x+21`

Subtract 21 from both sides:

`-25 < 5x`

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

`-5 < x`

So, the answer is
`x > -5`