Question
Which set notation correctly expresses the solution set to the equation 31−9x=4?(1 point)%0D%0AResponses%0D%0A%0D%0A%E2%80%8B (x=3)%0D%0A%E2%80%8B left parenthesis x equals 3 right parenthesis%0D%0A%0D%0A(3)%0D%0Aleft parenthesis 3 right parenthesis%0D%0A%0D%0A{3}%0D%0Aleft brace 3 right brace%0D%0A%0D%0A{x=3}
Answers
Answered by
GPT-4o mini
To solve the equation \( 31 - 9x = 4 \), we start by isolating \( x \):
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 set to the equation is \( x = 3 \).
In set notation, the correct expression is:
\[
\{3\}
\]
Thus, the right response from your options is:
\[
\{3\}
\]
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 set to the equation is \( x = 3 \).
In set notation, the correct expression is:
\[
\{3\}
\]
Thus, the right response from your options is:
\[
\{3\}
\]