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

Responses

(3)
left parenthesis 3 right parenthesis

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

{3}
left brace 3 right brace

​ (x=3)

1 answer

To solve the equation \( 31 - 9x = 4 \), let's isolate \( x \).

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

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

The solution is \( x = 3 \).

The correct set notation to express the solution set is: \[ {3} \]

So the correct response is {3}.