Grades 11-12 Video Solutions 2021-video 2021 11-12/12

Video Transcription

Video Summary

The problem involves two sets A and B with defined open intervals. Set A includes (0,1) and (2,3), while set B includes (1,2) and (3,4). The task is to determine possible sums of numbers chosen from each set. By exploring combinations, we find the sums form intervals (1,3), (3,5), and (5,7), excluding numbers 3 and 5. Thus, the numbers formed from A + B are the union of these intervals. The solution clarifies that although the union seems like (1,7), it cannot include numbers 3 and 5, hence the union of these intervals provides the correct answer.

Keywords

set theory

intervals

open intervals

sum of sets

union of intervals