$|a-i|-|b-j|> c$?

Question

Let's have the following inequality: $$|a-i|-|b-j|> c$$ Where $a,b$ and $c$ are fixed constants and $i,j$ are unknown. I want to determine when does this inequality holds in terms of $i$ and $j$, but I couldn't find how to simplify this any further. Any hints?

EDIT: we have that $|a-b|>c$

EDIT2: $i$ and $j$ are both positive.

Answer 1

if we have $$a\geq i$$ and $$b\geq j$$ we get $$a-b+j-i>c$$ is this what you want?