To solve the inequality \(5x - 1 \neq 9\), we first solve the corresponding equation:
\[ 5x - 1 = 9 \]
Adding 1 to both sides gives:
\[ 5x = 10 \]
Now, dividing by 5:
\[ x = 2 \]
This means that \(x = 2\) is the value that makes the equation true. Therefore, the inequality \(5x - 1 \neq 9\) is true for all natural numbers except \(x = 2\).
The first 10 natural numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The natural number from this list that is NOT a solution of \(5x - 1 \neq 9\) is:
\[ \textbf{2} \]