Answer:
x < -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex](-2)(x) + (-2)(3) > 3x + 9[/tex]
- [tex]-2x - 6 > 3x + 9[/tex]
Step 2: Subtract 3x from both sides.
- [tex]-2x - 6 -3x > 3x + 9 - 3x[/tex]
- [tex]-5x - 6 > 9[/tex]
Step 3: Add 6 to both sides.
- [tex]-5x - 6 + 6 > 9 + 6[/tex]
- [tex]-5x > 15[/tex]
Step 4: Divide both sides by -5.
- [tex]\frac{-5x}{-5} > \frac{15}{-5}[/tex]
- [tex]x < -3[/tex]
Therefore, x < -3.
