To solve the equation \( 31 - 9x = 4 \), follow these steps:
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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 \( x = 3 \).
To express the solution set in set notation, it can be written as: \[ {3} \] This denotes that the solution set contains the single element \( 3 \).
If you were to express it in interval notation, since it is a single solution, it would be: \[ [3, 3] \]
However, the simplest and most common set notation for a single solution is \({3}\).
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