Write the converse of each of the following statements
If it is raining, then there are clouds in the sky :

Answer

To find the converse of the given statement "If it is raining, then there are clouds in the sky," we can follow these steps:

### Step 1: Identify the components of the statement
Let:
- P = "It is raining"
- Q = "There are clouds in the sky"

### Step 2: Write the original statement in logical form
The original statement can be expressed as:
- If P, then Q (P → Q)

### Step 3: Write the converse of the statement
The converse of a statement is formed by switching the hypothesis and the conclusion. Therefore, the converse will be:
- If Q, then P (Q → P)

### Step 4: Substitute the values back into the converse
Now, we substitute back the values of P and Q:
- If there are clouds in the sky (Q), then it is raining (P).

### Final Answer
The converse of the statement "If it is raining, then there are clouds in the sky" is:
- "If there are clouds in the sky, then it is raining."

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