Final answer:
The factors of 120 less than 130 are compared with the factors of 40 to find their intersection, which is the set of common factors they share. This intersection, AnB, includes the factors 1, 2, 4, 5, 8, 10, 20, and 40.
Step-by-step explanation:
The question involves finding the factors of 120 that are less than 130 and comparing them to the factors of 40 to identify common elements. So let's start by listing the factors of both numbers:
- Factors of 120 (less than 130): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Set A includes all the factors of 120 we listed above since they are all less than 130. Set B includes the factors of 40. The intersection of sets A and B, denoted as AnB, includes only those elements that are members of both sets A and B.
Intersection of A and B (AnB): 1, 2, 4, 5, 8, 10, 20, 40
So, the common elements between set A and set B are 1, 2, 4, 5, 8, 10, 20, and 40. These factors are present in both set A (factors of 120) and set B (factors of 40).