Which set notation correctly expresses the solution set to the equation 31-9x=4?(1 point) Responses \left\{3\right\} left brace 3 right brace ​ \left(x=3\right) ​ left parenthesis x equals 3 right parenthesis \left(3\right) left parenthesis 3 right parenthesis \left\{x=3\right\}

Answer 1

To solve the equation \( 31 - 9x = 4 \), we first isolate \( x \):

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

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

The solution to the equation is \( x = 3 \).

Now, we want to express this solution in set notation. The correct notation for expressing the solution set containing the single solution \( x = 3 \) is:

\[ {3} \]

So, the correct response is:

\({3}\)