Question

Solve for x: 4x − 2 > 6x 8. x > −5 x < −5 x > 5 x < 5

Answer 1

The correct option is 2.

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.

Answer 2

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