Abstract: A container in which an opening is formed by tearing includes a sidewall having a primary weakened line extending a length between opposed linear ends thereof, tearing along the primary weakened line forming an opening in the sidewall; and two secondary weakened lines formed in said sidewall, each said secondary weakened line including a portion thereof disposed in spaced, partially overlapping parallel relation to a respective said linear end of said primary weakened line, said portion of each said secondary weakened line having a length substantially less than said length between said ends of said primary weakened line. The secondary weakened lines each consist of a single elongated slit. Alternatively, the secondary weakened lines are substantially U-shaped; L-shaped; T-shaped; I-shaped; C-shape; or spirally shaped and may merge with the opposed ends of the primary weakened line. A web of material for forming bags on a form fill machine includes these primary weakened lines and secondary weakened lines.