The contrapositive of the statement If 7 is grater than 8 is greater than 6 " is

Options

A. 1. If 8 is greater than 6 then 7 is greater than 5
B. 2. If 8 is not greater than 6 then 7 is greater than 5
C. 3. If 8 is not greater than 6 then 7 is not greater than 5
D. 4 If 8 is greater than 6 then 7 is not greater than 5.

Answer

To find the contrapositive of the statement "If 7 is greater than 8, then 8 is greater than 6," we will follow these steps:

### Step 1: Identify the components of the statement
The given statement is in the form "If P, then Q," where:
- P: "7 is greater than 8"
- Q: "8 is greater than 6"

### Step 2: Determine the negation of P and Q
Next, we need to find the negations of both P and Q:
- Negation of P (¬P): "7 is not greater than 8" (or "7 is less than or equal to 8")
- Negation of Q (¬Q): "8 is not greater than 6" (or "8 is less than or equal to 6")

### Step 3: Formulate the contrapositive
The contrapositive of the statement "If P, then Q" is "If ¬Q, then ¬P." Therefore, we can write:
- Contrapositive: "If 8 is not greater than 6, then 7 is not greater than 8."

### Step 4: Write the final answer
Thus, the contrapositive of the statement "If 7 is greater than 8, then 8 is greater than 6" is:
**"If 8 is not greater than 6, then 7 is not greater than 8."**

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