Write the converse, inverse and contrapositive of the following statements.
If you do not drink your milk, you will not be strong.

Answer

To solve the problem, we need to identify the original statement and then derive its converse, inverse, and contrapositive.

### Original Statement:
"If you do not drink your milk, you will not be strong."

### Step 1: Identify the Components
Let's denote:
- P: "You do not drink your milk"
- Q: "You will not be strong"

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

### Step 2: Write the Converse
The converse of a statement is formed by reversing the hypothesis and conclusion. So, the converse of the original statement is:
- If Q, then P.

In words, this translates to:
"If you are not strong, then you do not drink your milk."

### Step 3: Write the Inverse
The inverse of a statement is formed by negating both the hypothesis and conclusion. Thus, the inverse of the original statement is:
- If not P, then not Q.

In words, this translates to:
"If you drink your milk, then you will be strong."

### Step 4: Write the Contrapositive
The contrapositive of a statement is formed by both reversing and negating the hypothesis and conclusion. Therefore, the contrapositive of the original statement is:
- If not Q, then not P.

In words, this translates to:
"If you are strong, then you drink your milk."

### Summary of the Statements:
1. **Original Statement**: If you do not drink your milk, you will not be strong.
2. **Converse**: If you are not strong, then you do not drink your milk.
3. **Inverse**: If you drink your milk, then you will be strong.
4. **Contrapositive**: If you are strong, then you drink your milk.