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

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

The solution set is thus \( x = 3 \).

Now, we can express this in set notation. The options given are:

• {x=3}
• (x=3)
• {3}
• (3)

The correct set notation that represents the solution \( x = 3 \) is: {3}