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