Question

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

(3)
left parenthesis 3 right parenthesis

​ (x=3)
​ left parenthesis x equals 3 right parenthesis

{3}

Answer 1

To solve the equation \(31 - 9x = 4\):

1. Subtract 31 from both sides:
\(-9x = 4 - 31\)
\(-9x = -27\)

2. Divide both sides by -9:
\(x = 3\)

The solution set is the value of \(x\) that satisfies the equation.

The correct set notation that expresses the solution set is:

\(\{3\}\)

So the correct response is:
\{3\}