I have a question to find out that $L = \{a^i b^{j+3}\mid i\ne j \}$ is regular or not. I know that it is not regular. I tried with pumping lemma but I am finding just a specific number of $v$'s in $u v^i w$ that not satisfies the language condition, but not ALL $v$'s. What are the best choices for $i$ and $j$ to prove with pumping lemma that this is not a regular language?
Thanks in advance.