Would this be the right answer Solve for x: | x - 1 | >= 3??

Question

I am trying to make sure that I understand this - here is what I think the answer is.

Answer - {x:| 4 - 1| > 3} and {x:| -2 - 1| > -3}

Answer 1

I always thought, and remember it this way that the l...l means it is always 1 or -1

so... make sure you know the difference between l...l and (...)

the first equation would be wrong anyways.  b/c -3 is not greater that 3

it would have to be greater or EQUAL to.

you want a higher number I am thinking... like 5-1>3 b/c 4 is greater that 3

I dunno anymore... college algebra is different from this

Answer 2

x: | x - 1 | >= 3

x - 1 >= 3 .........................x >=4

or x - 1 <= -3 .....................x <= -2

\Answer - {x: x >= 4 or x <= -2}