Find whether the sets A and B are disjoint or overlapping sets :
(I) A= { x :x is an odd number between 1 and 10 } and
B = { x : x is an even whole number upto 10 } .

Answer

To determine whether the sets A and B are disjoint or overlapping, we will follow these steps:

### Step 1: Define the sets A and B
- Set A consists of odd numbers between 1 and 10.
- Set B consists of even whole numbers up to 10.

### Step 2: List the elements of Set A
- The odd numbers between 1 and 10 are:
- 1, 3, 5, 7, 9
- Therefore, Set A = {1, 3, 5, 7, 9}.

### Step 3: List the elements of Set B
- The even whole numbers up to 10 are:
- 2, 4, 6, 8, 10
- Therefore, Set B = {2, 4, 6, 8, 10}.

### Step 4: Find the intersection of sets A and B
- The intersection of two sets is the set of elements that are common to both sets.
- We will check if there are any common elements between Set A and Set B.
- Set A = {1, 3, 5, 7, 9} and Set B = {2, 4, 6, 8, 10}.
- There are no common elements between Set A and Set B.

### Step 5: Conclusion
- Since the intersection of Set A and Set B is empty (i.e., A ∩ B = ∅), the sets A and B are disjoint sets.

### Final Answer
Sets A and B are disjoint sets.

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