To solve the equation \( 31 - 9x = 4 \), let's isolate \( x \).
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Subtract 31 from both sides: \[ -9x = 4 - 31 \] \[ -9x = -27 \]
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Divide both sides by -9: \[ x = \frac{-27}{-9} = 3 \]
The solution to the equation is \( x = 3 \).
In set notation, we can express the solution set as: \[ { 3 } \]
Thus, the correct set notation for the solution set to the equation \( 31 - 9x = 4 \) is \( { 3 } \).