Answer:
The correct option is 2.
Step-by-step explanation:
The given inequality is
[tex]4x-2>6x+8[/tex]
Subtract -6x from both the sides.
[tex]4x-6x-2>6x-6x+8[/tex]
[tex]-2x-2>8[/tex]
Add 2 on both the sides.
[tex]-2x-2+2>8+2[/tex]
[tex]-2x>10[/tex]
Divide both sides by -2. The sign of inequality is change, when we divide the inequality by a negative number.
[tex]x<-5[/tex]
Therefore option 2 is correct.