IF A = {8,7,9} and B ={9,6,3,} , then `A cap B ` has only one element .

Answer

To solve the problem, we need to find the intersection of the two sets A and B. The intersection of two sets consists of the elements that are common to both sets.

**Step 1: Identify the elements of Set A and Set B.**
- Set A = {8, 7, 9}
- Set B = {9, 6, 3}

**Step 2: Determine the common elements in both sets.**
- We will look for elements that appear in both Set A and Set B.
- The elements in Set A are 8, 7, and 9.
- The elements in Set B are 9, 6, and 3.

**Step 3: Compare the elements of Set A and Set B.**
- The only element that is present in both Set A and Set B is 9.

**Step 4: Write the intersection of Set A and Set B.**
- The intersection of Set A and Set B, denoted as A ∩ B, is {9}.

**Step 5: Determine the number of elements in the intersection.**
- The intersection A ∩ B contains only one element, which is 9.

**Conclusion:**
- Therefore, it is true that A ∩ B has only one element.

**Final Answer:**
A ∩ B = {9}, which has only one element.

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