Question

How do you solve `-6 < 3x + 2 < 11`?

Answer 1

`-8/3 < x < 3`

Explanation:

Inequalities act just as equations do, for the most part. I'll show you what I mean:

`-6 < 3x +2 < 11`
Is the same as
`-8 < 3x < 9`

See what I did? I just subtracted 2 from both sides. We can then do the same with dividing by 3 to obtain:

`-8/3 < x < 3`