Question

How do you solve the inequality `-6 < x + 3 <6` ?

Answer 1

`-9<` `x<3`

Explanation:

If we start with `-6<` `x+3<6`, we can begin by breaking this one expression into to, like so:

`-6<` `x+3` and `x+3<6`. Now we can solve for the two different `x`s.

`-6<` `x+3`, minus `3` on both sides, and we have `-9<` `x`.

With `x+3<` `6`, we once again subtract `3` on both sides, which leaves us with `x<3`.

So, `x` can be greater than `-9` and smaller that `3`, which we can write as `-9<` `x<3`