Explanation:
Given information
Set A = {1, 3, 5, 7, 9}
Set B = {1, 2, 5, 7, 9}
Firstly, we need to define the following terms.
A subset of a set: This is defined as a set in which all the elements are contained in another set.
A proper subset of a set: This is defined as the set that contains a few elements of the original set
To write a proper subset of a set, all the elements in set A must be present in set B and all the five elements in set B is not present in set A
From the set A and B given as provided by the question, you will observe that not all the elements in set A are present in set B, and not all the five elements of set B are present in set A. Since the first condition of a proper subset is not fulfilled, therefore, A is not a proper subset of B and B is not a proper subset of A. This ruled out option D and option E.
From the definition of a subset of a set, you will observe that not all the elements in set A are in set B, also, not all the elements in set B are in set A. This ruled out the option B and option C
From the given set, you will see that set A is not equal to set B
Therefore, the only correct option is option F