At the end of the first round in a quiz show, jeremy has at most negative 20 points. write an inequality that means “at most negative 20.”

The inequality would be x < -20 points, where x represents his number of points. The words "at most "mean that he can have up to and including -20 points.  If we read this inequality, it tells us that the number of points he has is less or equal to -20 which is the same thing as saying "at the most" -20 points.