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Verified Answer :

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

\(4x-2>6x+8\)

Subtract -6x from both the sides.

\(4x-6x-2>6x-6x+8\)

\(-2x-2>8\)

Add 2 on both the sides.

\(-2x-2+2>8+2\)

\(-2x>10\)

Divide both sides by -2. The sign of inequality is change, when we divide the inequality by a negative number.

\(x<-5\)

Therefore option 2 is correct.