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

Answer

To solve the problem, we need to determine whether the number 6 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. Even integers are numbers that can be divided by 2 without a remainder. Examples include -4, -2, 0, 2, 4, 6, 8, etc.

2. **Check if 6 is an Even Integer**:
- The number 6 is an integer.
- To check if it is even, we can divide it by 2:
- \(6 \div 2 = 3\) with no remainder.
- Since there is no remainder, 6 is indeed an even number.

3. **Determine Membership**:
- Since 6 is an even integer, we can conclude that 6 is an element of the set E.

4. **Insert the Appropriate Symbol**:
- The symbol for "belongs to" is typically represented as ∈.
- Therefore, we can fill in the blank as follows:
- {6} ∈ E

### Final Answer:
The appropriate symbol to insert is "in" (∈). Thus, the complete statement is:
{6} ∈ E