Answer:
[tex]x>\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]2x-3>-4x+2[/tex]
Add 3 to both sides
[tex]2x-3+3>-4x+2+3[/tex]
Simplify
[tex]2x>-4x+5[/tex]
Add [tex]4x[/tex] to both sides
[tex]2x+4x>-4x+5+4x[/tex]
Simplify
[tex]6x>5[/tex]
Divide both sides by 6
[tex]\frac{6x}{6} >\frac{5}{6}[/tex]
Simplify
[tex]x>\frac{5}{6}[/tex]
