Let A = [2,4,6,8 ],B = { 6,8,10 ,12} and C = {7,8,9,10 } Find .
` A nn C `

Answer

To find the intersection of sets A and C, we will follow these steps:

### Step 1: Identify the Sets
We have the following sets:
- Set A = {2, 4, 6, 8}
- Set C = {7, 8, 9, 10}

### Step 2: Understand the Concept of Intersection
The intersection of two sets is the set of elements that are common to both sets. We denote the intersection of sets A and C as \( A \cap C \).

### Step 3: Find Common Elements
Now, we will look for elements that are present in both set A and set C:
- Elements in Set A: 2, 4, 6, 8
- Elements in Set C: 7, 8, 9, 10

### Step 4: Compare the Elements
We will compare the elements of both sets to find the common ones:
- The only common element between Set A and Set C is **8**.

### Step 5: Write the Intersection
Since the only common element is 8, we can write the intersection of sets A and C as:
\[ A \cap C = \{8\} \]

### Final Answer
Thus, the intersection of sets A and C is:
\[ A \cap C = \{8\} \]

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