Which set notation correctly expresses the solution set to the equation 31−9x=4

1 answer

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

  1. Subtract 31 from both sides:

    \[ 31 - 9x - 31 = 4 - 31 \]

    This simplifies to:

    \[ -9x = -27 \]

  2. Divide both sides by -9:

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

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

In set notation, this can be expressed as:

\[ { 3 } \]

So, the correct set notation for the solution set is \( { 3 } \).