Which set notation correctly expresses the solution set to the equation 31−9x=4 ?(1 point)

Question

Responses

{x=3}
left brace x equals 3 right brace

{3}
left brace 3 right brace

(3)
left parenthesis 3 right parenthesis

​ (x=3)

Answer 1

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

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

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

Since the solution \( x = 3 \) is derived from the equation, we express the solution set in set notation.

The correct notation for the solution set to this equation is:

\({3}\) (which is the set containing the single element 3).

Thus, the correct response is: {3}