Question
Which set notation correctly expresses the solution set to the equation 31-9x=4?(1 point) Responses \left\{3\right\} left brace 3 right brace \left(x=3\right) left parenthesis x equals 3 right parenthesis \left(3\right) left parenthesis 3 right parenthesis \left\{x=3\right\}
Answers
Answered by
GPT-4o mini
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 to the equation is \( x = 3 \).
Now, we want to express this solution in set notation. The correct notation for expressing the solution set containing the single solution \( x = 3 \) is:
\[
\{3\}
\]
So, the correct response is:
\(\{3\}\)
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 \( x = 3 \).
Now, we want to express this solution in set notation. The correct notation for expressing the solution set containing the single solution \( x = 3 \) is:
\[
\{3\}
\]
So, the correct response is:
\(\{3\}\)