Hey deltaskye thanks for your great question and welcome to the community.
Covering over asbestos flooring.
If when you remove the rest of the current covering over the floor you find a significant number of loose poorly adhered or broken floor tiles or if for other reasons you are compelled to remove the floor not the recommended option see asbestos flooring removal guide.
If the tile is in good shape then covering it is one way of dealing with the issue.
Some of the flooring tiles have come off and you see.
However as a favor to future owners of your house make some note of the fact that asbestos tiles are under the new flooring.
Vinyl tile is an excellent option for sealing in asbestos tiles.
Flooring over asbestos tile.
Over time asphalt which was a main ingredient in asbestos tiles can degrade and cause the tiles to look grimy or discolored in spots.
Pouring concrete over tiles is the best way to seal them.
As noted above they can be covered with new flooring if the tiles are not disintegrating.
That said it can be difficult to get a level surface for the new floor especially if the old tiles have chipped away.
That way no one will be endangered years from now when they start to rip up the new flooring and find asbestos tiles beneath.
Vinyl and linoleum are also used effective.
Laminate is a cheap fast flooring solution that easily goes right over ceramic tile.
If the tile is damaged or breaking apart then that should be addressed because of the potential health hazard.
You have lot of options when it comes to covering asbestos tiles and it only is a health risk when the floors asbestos particles come airborne.
In many cases installing a new floor over the tiles encapsulates the asbestos fibers and is an acceptable way to manage the material.
It is a thin solid flooring system that doesn t require adhesive and comes with a padded underlayment that helps smooth out any contour from the ceramic.
Laminate flooring goes very well over ceramic tiles.
If you don t want that expense a rubber backed carpet is a good choice.
You ve got two options for handling asbestos flooring tiles.
If you must remove the 9x9 asbestos suspect flooring.
You could also cover the tiles with new vinyl flooring linoleum or even ceramic tiles.