These bags are very reasonably priced and I could not have asked for faster delivery. Many have said that these bags were an exact replacement for the bags they received from Sears - not my experience. Sears bags were made of very thick material. These are MUCH thinner. The seller claims they are built to HEPA filtration requirements and Kenmore specifications, but the fabric is clearly a lot thinner than real Kenmore filter bags. I have to rely on the seller's specs as I have no way of testing HEPA compliance or empirically whether thicker material is more effective at trapping larger/smaller dust particles, but I still suspect thicker bags might be better. . , and we will look for them next time.