John R. answered 03/26/13
John R: Math, Science, and History Teacher
2x - 3 < 6 Given
2x < 6 + 3 Add 3 to each side
2x < 9 Simplify
x < 9/2 Divide each side by 2
Since the solution is in the set of positive integers, the answer is {1, 2, 3, 4}, since those are the only positive integers that are less than 9/2 (4.5).