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