Final answer:
Francis Cabot Lowell indeed built the first integrated textile mill in New England, which is true. Benjamin Franklin's founding of the first abolitionist society in America is also true. The preference for short staple cotton over long staple before the cotton gin's invention is false since the gin made it easier to process short staple cotton.
Step-by-step explanation:
The statement regarding Francis Cabot Lowell building the first integrated textile mill in New England is true. Lowell's establishment of the mill in the early 19th century marked the beginning of the American Industrial Revolution in textile manufacturing. Likewise, Benjamin Franklin establishing the first abolitionist society in America is a true fact, reflecting his stance on slavery by the late 18th century. However, the preference for short staple cotton over long staple cotton before the invention of the cotton gin is false. The invention of the cotton gin by Eli Whitney actually made short staple cotton more desirable because the gin could easily remove the seeds, which was difficult to do by hand.