How do you solve #4 - |3k+1| <2#?
To make the absolute positive multiply everything by (-1). Note that this turns the inequality sign round the other way. So now we have:
Add 4 to both sides
There are what I will call 'trigger' values that this condition relates to.
Lets determine these 'trigger' values.
So the 'trigger' values are such that
so we have
and we have