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To express the solution set of the equation \( 31 - 9x = 4 \) using set notation, we first need to solve for \( x \).
1. Start with the equation:
\[
31 - 9x = 4
\]
2. Subtract 31 from both sides:
\[
-9x = 4 - 31
\]
\[
-9x = -27
\]
3. Divide both sides by -9:
\[
x = \frac{-27}{-9}
\]
\[
x = 3
\]
Now that we have found the solution \( x = 3 \), we can express this in set notation. The solution set containing this single value can be expressed as:
\[
\{3\}
\]
Thus, the correct set notation for the solution set of the equation is \( \{3\} \).