The contrapositive of the statement "If you will work, you will earn money" is :

Options

A. You will earn money, if you will not work
B. If you will earn money, you will work
C. If you will not earn money, you will not work
D. To earn money, you need to work

Answer

To find the contrapositive of the statement "If you will work, you will earn money," we can follow these steps:

### Step 1: Identify the components of the statement
The statement can be represented in the form of an implication:
- Let \( p \) be "you will work."
- Let \( q \) be "you will earn money."

So, the statement can be written as:
\[ p \implies q \]

### Step 2: Write the contrapositive
The contrapositive of an implication \( p \implies q \) is given by:
\[ \neg q \implies \neg p \]
where \( \neg \) denotes negation.

### Step 3: Negate both parts
Now, we need to negate both \( q \) and \( p \):
- \( \neg q \): "You will not earn money."
- \( \neg p \): "You will not work."

### Step 4: Formulate the contrapositive statement
Putting it all together, the contrapositive statement becomes:
"If you do not earn money, then you will not work."

### Final Answer
Thus, the contrapositive of the statement "If you will work, you will earn money" is:
**"If you do not earn money, then you will not work."**

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