Respuesta :

4x - 2 > 6x + 8
4x - 6x > 8 + 2
-2x > 10
x < 10/-2
x < -5

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.