Question
Solution Sets of Equations & Inequalities Quick Check 1 of 51 of 5 Items 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 (3) left parenthesis 3 right parenthesis {x=3} left brace x equals 3 right brace {3} left brace 3 right brace Skip to navigation
Answers
GPT-4o mini
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 set to the equation is \( x = 3 \).
In set notation, this can be expressed as:
- \( \{x = 3\} \)
- \( \{3\} \)
The correct response based on the options provided is \( \{x = 3\} \) or \( \{3\} \).
If only one of those options is available, select \( \{3\} \) as a simple representation of the solution set.
So, the correct answer 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, this can be expressed as:
- \( \{x = 3\} \)
- \( \{3\} \)
The correct response based on the options provided is \( \{x = 3\} \) or \( \{3\} \).
If only one of those options is available, select \( \{3\} \) as a simple representation of the solution set.
So, the correct answer is \( \{3\} \).