I'm going to go way out on a limb here and presume that "...what is the last possible value of ab?" ACTUALLY means "...what is the least possible value of ab?"
If , then .
Since both and are negative, their product must be positive. Therefore the two values of and that are closest to zero will give the minimum product.
Zero is not a negative integer, so the closest could be to zero is for . That means . And then .
By the way, the next time you post, take a couple of seconds to proofread your input. It is exceedingly impolite of you to simply dash off a question with misspellings that require us (all UNPAID volunteers) to guess what you actually mean. Have a little consideration for people who are doing WORK for YOU without compensation.
John
My calculator said it, I believe it, that settles it