Painting - painting horizontal stripes on walls

I am painting my daughter's room two-tone with horizontal striping and the paint is bleeding through the tape. I have seen several pictures in catalogs with rooms painted this way and the stripes look so clean and sharp. Is there any tip to keeping the paint from bleeding through the tape? The walls are textured. Thanks

paint above the line and over the tape with glaze clear to seal the edge might work well. On texture when I spray it goes on pretty clean when tape is removed. Rolling and brushing usually leaves it too thick not to run down into openings in the tape. 2 or more thin coats would help in keeping it from bleeding. Oh and be sure to use a razor blade to cut through on the top edge of the tape or it will peel away some paint when the tape is pulled off.