which set notation correctly expresses the solution set to the equation 31-9x=4

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

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

In set notation, we can express the solution set as: \[ { 3 } \]

Thus, the correct set notation for the solution set to the equation \( 31 - 9x = 4 \) is \( { 3 } \).