I'm looking to replace an old carpet in my finished basement with tile. I've removed the carpet and found a surface with some peeling paint, which I've read needs to be removed since the thinset for the tiles needs to bond to a solid surface.
I've tried attacking a small area with an angle grinder with a sanding attachment and a coarse grit sanding disc, and I've found that there seem to be a number of layers on top of the slab:
It looks like there are at least two layers of paint, and then the green layer is pretty resistant to coming off. Below that there is this red, which I thought at first was maybe some weird color of cement, but if I really leave the grinder there it seems to get through to gritty looking concrete.
What do I need to do here to be able to tile on top of this? It seems like the green / red layers are very well adhered and I wouldn't be worried about them coming up, but they also will not absorb any water, so I'm not sure if the thinset would bond?