modulus inequality can't find similar examples!!

Q solve this modulus is supposed to cover both lines btw of the RHS!!!

Im really not sure how to split this up tbh. Either I square the RHS and the left and chaging the sign. Or split it up into two separate parts but even then I get lots of complex numbers. I think obtaining the answer involves a bunch of limits you analyse from splitting it up and looking at which ones fit then number line but i dont know how to get these limits. If anyone could help theyd be fantastic:D thanks guys!