Hi, I am having some problems with an exercise.

I have solved the first one, but I don't know how to go about the 2nd one .

The first one is:

Find the solution set of |x-1|+|x+1|<1

And I got this:

|x|=

-2x, x<=-1

2x, x>=1

2, -1<x<1

(I got this from drawing the graph for |x-1| and |x+1| and adding the parallel lines)

For the second exercise I have:

Find the solution set of

|x-1|+|x+1|<6

I am pretty sure the result cannot be the same from looking at the graph, but I have no clue how to work it out using calculus :-/.

Any help would be very much appreciated, thanks!