Solve the inequality:

$\displaystyle |||x-1|-1|-1| \geq 4$

So I can find the first solution:

$\displaystyle x-1-1-1 \geq 4$

$\displaystyle x \geq 7$

I can't figure out how to get the other solution correctly. From looking it up I know it should be $\displaystyle x \leq -5$. I have never had to deal with absolute values like this before so I don't know where to put all the negative signs.