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

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 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 \( {3} \).