If it is raining, then I will not come, give its contrapositive.

Options

A. If I will come, then it is not raining
B. If I will not came, then it is raining
C. If I will not came, then it is not raining
D. If I will came, then it is raining

Answer

To find the contrapositive of the statement "If it is raining, then I will not come," we can follow these steps:

### Step 1: Identify the components of the statement
The given statement is a conditional statement of the form "If P, then Q," where:
- P: "It is raining"
- Q: "I will not come"

### Step 2: Write the implication
The implication can be expressed as:
- P → Q (If P then Q)

### Step 3: Determine the negations of P and Q
Next, we need to find the negations of both P and Q:
- Negation of P (¬P): "It is not raining"
- Negation of Q (¬Q): "I will come" (since the negation of "I will not come" is "I will come")

### Step 4: Formulate the contrapositive
The contrapositive of the implication P → Q is given by ¬Q → ¬P (If not Q, then not P). Therefore, we can express this as:
- If I will come (¬Q), then it is not raining (¬P).

### Step 5: Write the final contrapositive statement
Thus, the contrapositive of the original statement is:
- "If I will come, then it is not raining."

### Final Answer
The contrapositive of the statement "If it is raining, then I will not come" is:
- **If I will come, then it is not raining.**

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