State whether the following pairs of sets are equal or not :
A = {3,5,7,9,11,13}, B = {odd natural numbers between 2 and 14}

Answer

To determine whether the sets A and B are equal, we need to analyze the elements of both sets.

**Step 1: Identify the elements of Set A.**
- Set A is given as: A = {3, 5, 7, 9, 11, 13}.

**Step 2: Identify the elements of Set B.**
- Set B is defined as the odd natural numbers between 2 and 14.
- The odd natural numbers in this range are: 3, 5, 7, 9, 11, and 13.

**Step 3: List the elements of Set B.**
- Therefore, Set B can be written as: B = {3, 5, 7, 9, 11, 13}.

**Step 4: Compare the elements of Set A and Set B.**
- Now we compare the two sets:
- Set A: {3, 5, 7, 9, 11, 13}
- Set B: {3, 5, 7, 9, 11, 13}

**Step 5: Conclusion.**
- Since both sets contain exactly the same elements, we conclude that Set A and Set B are equal.

**Final Answer:**
- Set A and Set B are equal sets.

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