Question

solve lx+4l >1

Answer 1

You could try just removing the absolute value (first)
and then solving the inequality.

Answer 2

Like this:
x + 4 > 1
x + 4 - 4 > 1 - 4
x > -3

but this isn't the only solution set to this problem.

Whenever
|a| > b
It could certainly mean that
a > b
But it could also mean that a is very negative, so another set arises from computing from
-a < b

apply this to your question