Which set notation correctly expresses the solution set to the equation 31−9x=4?(1 point)%0D%0AResponses%0D%0A%0D%0A%E2%80%8B (x=3)%0D%0A%E2%80%8B left parenthesis x equals 3 right parenthesis%0D%0A%0D%0A(3)%0D%0Aleft parenthesis 3 right parenthesis%0D%0A%0D%0A{3}%0D%0Aleft brace 3 right brace%0D%0A%0D%0A{x=3}

1 answer

To solve the equation \( 31 - 9x = 4 \), we start by isolating \( x \):

  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 set to the equation is \( x = 3 \).

In set notation, the correct expression is: \[ {3} \]

Thus, the right response from your options is: \[ {3} \]