Which of the following inequalities is equivalent to -2x - 6y > 2y - 4

Which of the following inequalities is equivalent to -2x - 6y > 2y - 4 ?

1. x < -4y + 2
2. x > -4y + 2
3. x < 2y + 2
4. x < 4y + 2
5. x > 4y + 2

Answer

The correct answer is A.

Write this inequality equivalently, with x on the left side.

First, add 6y to both sides and obtain

-2x > 8y - 4.

Then, divide both sides by -2, remembering to reverse the direction of the inequality sign. Doing this, we get

x < -4y + 2