Question

If A = 10, 30 and B = 10, 20, 30, 40, 50, 60, 70, 80, find A ∩ B.

a) 30, 10

b) 90, 30, 10

c) 90

d) 80, 70, 60, 50, 40, 20

Answer 1

The intersection (∩) of sets A and B identifies common elements. Set A = {10, 30}, set B = {10, 20, 30, 40, 50, 60, 70, 80}. Common elements in both sets are 10 and 30, making the intersection set {10, 30}. Hence, the answer is a) 30, 10. Therefore the correct answer is option a.

Step-by-step explanation:

The symbol ∩ denotes the intersection of sets A and B, representing the elements that are common to both sets. Set A contains elements 10 and 30, while set B contains elements 10, 20, 30, 40, 50, 60, 70, 80. The intersection (∩) involves identifying the common elements between the two sets. In this case, the common elements between sets A and B are 10 and 30, as they appear in both sets. Therefore, the correct answer is a) 30, 10.

In set notation, the intersection (∩) of two sets involves finding the elements that exist in both sets. Set A = {10, 30} and set B = {10, 20, 30, 40, 50, 60, 70, 80}. To determine the intersection, we identify the common elements present in both sets. The elements that appear in both A and B are 10 and 30. Therefore, the intersection of A and B, denoted as A ∩ B, is {10, 30}.

Mathematically, the intersection of sets involves comparing the elements of each set to find the common elements. In this scenario, elements 10 and 30 are present in both sets A and B, forming the intersection set {10, 30}. Hence, A ∩ B = {10, 30}. Therefore the correct answer is option a.