Write the contrapositive of the following statements :
If the weather is cold, then it will snow.

Answer

To find the contrapositive of the statement "If the weather is cold, then it will snow," we can follow these steps:

### Step 1: Identify the components of the statement
The given statement can be broken down into two parts:
- Let \( A \): "The weather is cold."
- Let \( B \): "It will snow."

### Step 2: Write the implication
The original statement can be expressed in logical form as:
\[ A \implies B \]
This means "If \( A \) is true, then \( B \) is true."

### Step 3: Formulate the contrapositive
The contrapositive of an implication \( A \implies B \) is given by:
\[ \neg B \implies \neg A \]
where \( \neg B \) is the negation of \( B \) and \( \neg A \) is the negation of \( A \).

### Step 4: Negate the components
Now we need to negate both components:
- The negation of \( B \) ("It will snow") is: "It will not snow."
- The negation of \( A \) ("The weather is cold") is: "The weather is not cold."

### Step 5: Write the contrapositive statement
Putting it all together, the contrapositive statement is:
"If it does not snow, then the weather is not cold."

### Final Answer
The contrapositive of the statement "If the weather is cold, then it will snow" is:
**"If it does not snow, then the weather is not cold."**

---