Write the negation of the following statements `:`
The number 2 is greater than 7.

Options

A. `p:`The number 2 is not greater than 7
B. `~p :` The number 2 is less than or equal to 7
C. `~p :` It is false that the number 2 is grater than 7.
D. None of above

Explanation

To find the negation of the statement "The number 2 is greater than 7," we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Original Statement**:
The original statement is "The number 2 is greater than 7." We can denote this statement as \( P \).

2. **Express the Statement Mathematically**:
The statement can be expressed mathematically as:
\[ P: 2 > 7 \]

3. **Understand the Concept of Negation**:
The negation of a statement is what makes the statement false. In logical terms, the negation of \( P \) (denoted as \( \neg P \)) is the opposite of the original statement.

4. **Formulate the Negation**:
The negation of the statement "2 is greater than 7" can be expressed as:
\[ \neg P: 2 \text{ is not greater than 7} \]
This can be further simplified to:
\[ \neg P: 2 \leq 7 \]

5. **Final Answer**:
Therefore, the negation of the statement "The number 2 is greater than 7" is:
\[ \text{The number 2 is less than or equal to 7.} \]