If `X={1,2,3,….,10}` and 'a' represents any element of X, then the set containing all the elements satisfy `a+2=6,ainX` is

Options

A. `{4}`
B. `{3}`
C. `{2}`
D. `{5}`

Answer

To solve the problem, we need to find the set of elements 'a' from the set \( X = \{1, 2, 3, \ldots, 10\} \) that satisfy the equation \( a + 2 = 6 \).

### Step-by-Step Solution:

1. **Start with the equation**:
We have the equation given as:
\[ a + 2 = 6 \]

2. **Isolate 'a'**:
To find 'a', we can rearrange the equation:
\[ a = 6 - 2 \]

3. **Calculate the value of 'a'**:
Now, we perform the subtraction:
\[ a = 4 \]

4. **Check if 'a' belongs to set \( X \)**:
We need to verify if \( a = 4 \) is an element of the set \( X \):
\[ X = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \]
Since \( 4 \) is in \( X \), it satisfies the condition.

5. **Form the set**:
The set containing all elements that satisfy the equation \( a + 2 = 6 \) and \( a \in X \) is:
\[ \{4\} \]

### Final Answer:
The set containing all elements that satisfy the condition is:
\[ \{4\} \]