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:
**\( 4x + 8 = -4 \)**.