Question

Which of the following equations has the solution set {−3}{−3} ?(1 point)

Responses

4x−8=44x−8=4

4 x minus 8 equals 4

4x−8=−44x−8=−4

4 x minus 8 equals negative 4

4x+8=−44x+8=−4

4 x plus 8 equals negative 4

4x+8=44x+8=4

4 x plus 8 equals 4

Answer 1

To determine which equation has the solution set {−3}, we can substitute \( x = -3 \) into each of the equations provided and see which one holds true.

1. **Equation:** \( 4x - 8 = 4 \)
\[
4(-3) - 8 = 4 \Rightarrow -12 - 8 = 4 \Rightarrow -20 \neq 4
\]
(Not a solution)

2. **Equation:** \( 4x - 8 = -4 \)
\[
4(-3) - 8 = -4 \Rightarrow -12 - 8 = -4 \Rightarrow -20 \neq -4
\]
(Not a solution)

3. **Equation:** \( 4x + 8 = -4 \)
\[
4(-3) + 8 = -4 \Rightarrow -12 + 8 = -4 \Rightarrow -4 = -4
\]
(This is a solution)

4. **Equation:** \( 4x + 8 = 4 \)
\[
4(-3) + 8 = 4 \Rightarrow -12 + 8 = 4 \Rightarrow -4 \neq 4
\]
(Not a solution)

From the evaluations, the correct equation that has the solution set {−3} is:
**\( 4x + 8 = -4 \)**.