Question

Solution Sets of Equations & Inequalities Quick Check
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Question
Which set notation correctly expresses the solution set to the equation 31−9x=4
?(1 point)
Responses

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

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

(3)
left parenthesis 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:
\[
x = \frac{-27}{-9} \\
x = 3
\]

The solution for \( x \) is 3. The correct way to express this in set notation is:

\[
\{x = 3\}
\]

So the correct answer from the provided options is:

\(\{x=3\}\) (left brace x equals 3 right brace)