If `a Delta b = a- b - (-2) (a & b > 0)` then, find the value of `4 Delta 3`.

Options

A. 1
B. `-1`
C. 3
D. `-3`

Answer

To solve the problem, we need to evaluate the expression \( 4 \Delta 3 \) using the defined operation \( a \Delta b = a - b - (-2) \).

### Step-by-Step Solution:

1. **Identify the values of \( a \) and \( b \)**:
- Here, \( a = 4 \) and \( b = 3 \).

2. **Substitute the values into the operation**:
- We need to calculate \( 4 \Delta 3 \).
- According to the definition, \( 4 \Delta 3 = 4 - 3 - (-2) \).

3. **Simplify the expression**:
- First, calculate \( 4 - 3 \):
\[ 4 - 3 = 1 \]
- Now, substitute this back into the equation:
\[ 4 \Delta 3 = 1 - (-2) \]

4. **Handle the negative sign**:
- The expression \( -(-2) \) is equivalent to \( +2 \):
\[ 1 + 2 = 3 \]

5. **Final result**:
- Therefore, the value of \( 4 \Delta 3 \) is:
\[ 4 \Delta 3 = 3 \]

### Conclusion:
The value of \( 4 \Delta 3 \) is \( 3 \).