Show that subtraction and division are not binary operations on `N`.

Explanation

To show that subtraction and division are not binary operations on the set of natural numbers \( N \), we need to understand the definition of a binary operation. A binary operation on a set \( S \) is a rule that combines any two elements \( a \) and \( b \) from \( S \) to produce another element \( c \) in \( S \). In mathematical terms, for a binary operation \( * \), if \( a, b \in S \), then \( a * b \in S \).

### Step 1: Define the set of natural numbers
Let \( N \) be the set of natural numbers, which is defined as \( N = \{1, 2, 3, 4, \ldots\} \).

### Step 2: Analyze subtraction
Consider two natural numbers \( a \) and \( b \) such that \( a, b \in N \).

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