Final answer:
The inequality 6x - 3y < 12 is equivalent to y > 2x - 4.
Step-by-step explanation:
The inequality 6x - 3y < 12 is equivalent to y > 2x - 4.
To find the equivalent inequality, we need to isolate y on one side of the equation.
First, subtract 6x from both sides of the inequality: -3y < 12 - 6x.
Next, divide both sides by -3.
Remember that dividing or multiplying an inequality by a negative number flips the inequality sign, so we have y > (12 - 6x) / -3, which simplifies to y > 2x - 4.