A dual-opening carton comprising: a front panel, a rear panel opposite the front panel, and first and second side panels each extending between the front and rear panels; a flap at a top of the front panel being attached to the rear panel to close a top end of the carton, the flap being at least partially detachable from the rear panel along one or more flap lines of weakness to open the top end of the carton to access contents of the carton; and a pattern of panel lines of weakness extending about the front, rear, first side and second side panels, the pattern being configured to be ruptured to permit a top portion of the carton to be at least partially removed to access contents of the carton, the pattern including: one or more first side panel lines of weakness extending toward the front panel and toward the rear panel; and an inclined line of weakness (241, 231) in each of the front and rear panels and aligned with ends of the first side panel lines of weakness, the inclined lines of weakness each being closer to the top of the carton adjacent the second side panel as compared to adjacent the first side panel, wherein the inclined line of weakness (241, 231) in each of the front and rear panels is configured to require a lower force to rupture as compared to the one or more first side panel lines of weakness. a front panel, a rear panel opposite the front panel, and first and second side panels each extending between the front and rear panels; a flap at a top of the front panel being attached to the rear panel to close a top end of the carton, the flap being at least partially detachable from the rear panel along one or more flap lines of weakness to open the top end of the carton to access contents of the carton; and a pattern of panel lines of weakness extending about the front, rear, first side and second side panels, the pattern being configured to be ruptured to permit a top portion of the carton to be at least partially removed to access contents of the carton, the pattern including: one or more first side panel lines of weakness extending toward the front panel and toward the rear panel; and an inclined line of weakness (241, 231) in each of the front and rear panels and aligned with ends of the first side panel lines of weakness, the inclined lines of weakness each being closer to the top of the carton adjacent the second side panel as compared to adjacent the first side panel, wherein the inclined line of weakness (241, 231) in each of the front and rear panels is configured to require a lower force to rupture as compared to the one or more first side panel lines of weakness. one or more first side panel lines of weakness extending toward the front panel and toward the rear panel; and an inclined line of weakness (241, 231) in each of the front and rear panels and aligned with ends of the first side panel lines of weakness, the inclined lines of weakness each being closer to the top of the carton adjacent the second side panel as compared to adjacent the first side panel, wherein the inclined line of weakness (241, 231) in each of the front and rear panels is configured to require a lower force to rupture as compared to the one or more first side panel lines of weakness.