To solve the equation \( 31 - 9x = 4 \):
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Subtract 31 from both sides: \[ -9x = 4 - 31 \] \[ -9x = -27 \]
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Divide both sides by -9: \[ x = \frac{-27}{-9} \] \[ x = 3 \]
The solution set to the equation is just the value of \( x \), which is 3.
Among the provided choices, the correct notation that expresses the solution set is: {3}
This indicates that the solution set contains the single element 3.