Which set notation correctly expresses the solution set to the equation 31 - 9x = 4?

Question

{3}
(x = 3)
(3)
{x = 3}

Answer 1

To solve the equation \( 31 - 9x = 4 \):

1. Subtract 31 from both sides: \[ -9x = 4 - 31 \] \[ -9x = -27 \]

2. Divide both sides by -9: \[ x = \frac{-27}{-9} \] \[ x = 3 \]

The solution is \( x = 3 \).

To express this in set notation, we can use the notation that describes the solution set. The correct representation would be:

\({3}\) or \({x = 3}\) are set notations for the set containing the solution.

So, the set notation that correctly expresses the solution set to the equation is:

\({3}\) (indicating the set containing the value 3) or \({x = 3}\) (indicating the variable x equals 3).

If asked to choose from the provided options, both \({3}\) and \({x = 3}\) are mathematically valid.