If E = {even integers}, then insert the appropriate symbol `in` or `cancel(in)` in the blanks :
10 . . . . . . E

Answer

To solve the problem, we need to determine whether the number 10 is an element of the set E, which is defined as the set of even integers.

### Step-by-Step Solution:

1. **Identify the Set E**:
- The set E is defined as the set of even integers. This means E includes numbers like ..., -4, -2, 0, 2, 4, 6, 8, 10, 12, ... and so on.

2. **Check the Number 10**:
- We need to check if the number 10 is an even integer. An even integer is any integer that can be divided by 2 without leaving a remainder.

3. **Determine if 10 is Even**:
- When we divide 10 by 2, we get 5, which is an integer. Since there is no remainder, we can conclude that 10 is an even number.

4. **Conclusion**:
- Since 10 is an even integer, it belongs to the set E. Therefore, we can fill in the blank with the symbol that indicates membership in the set.

5. **Final Answer**:
- The appropriate symbol to insert in the blank is "in". Thus, the complete statement is: 10 in E.