I am trying to achieve a modern, minimalist look in a carpeted
bedroom. The builder has recommended having no baseboard molding at
all, with the carpet just running right up to the wall.

In the other rooms in the apartment, I've got hardwoods with stained
quarter round, and stone tiles with 4" tile as a border, so really no
other painted moldings to speak of.

Is having no baseboards at all a viable option, and will it look
strange?