Question

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 parenthesis x equals 3 right parenthesis

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

{3}
left brace 3 right brace

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

The solution set, representing the value of \( x \), can be expressed in set notation. The correct set notation for the solution \( x = 3 \) is:

\[
\{3\}
\]

So the response that expresses the solution set correctly is:

**{3}** (left brace 3 right brace)