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

Jun 3, 2016

$- 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$