Answer:
[tex]x > -\frac{3}{7}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
- [tex]6x-2(x+2)>2-3(x+3)[/tex]
- [tex]6x -2x -4 > 2 -3x -9[/tex]
- [tex]4x - 4 > -3x - 7[/tex]
Step 2: Add 3x to both sides.
- [tex]4x - 4 + 3x > -3x - 7 + 3x[/tex]
- [tex]7x - 4 > -7[/tex]
Step 3: Add 4 to both sides.
- [tex]7x - 4 + 4 > -7 + 4[/tex]
- [tex]7x > - 3[/tex]
Step 4: Divide both sides by 7.
- [tex]\frac{7x}{7} > \frac{-3}{7}[/tex]
- [tex]x > -\frac{3}{7}[/tex]
