Final answer:
The statement A ∩ B = x is false. The correct definition of the intersection of two sets A and B is that A ∩ B contains all elements that are common to both A and B.
Step-by-step explanation:
The statement A ∩ B = x ∈ A ∨ x ∈ B is false. The correct definition of the intersection of two sets A and B is that A ∩ B contains all elements that are common to both A and B. In other words, A ∩ B = x .
For example, if A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, then A ∩ B = {4, 5}. This means that the only elements that are in both sets A and B are 4 and 5.