Question

Mary graphed the linear inequality 12x - 3y < 12. What is the solution to the inequality?

A) y > 4x - 4
B) y < 4x - 4
C) y > 4x
D) y < 4x

Answer 1

The solution to the linear inequality 12x - 3y < 12 is y > 4x - 4.The solution to the inequality 12x - 3y < 12 is y > 4x - 4, which corresponds to option A.

Step-by-step explanation:

To determine the solution to the linear inequality 12x - 3y < 12, we need to graph it and identify the region that satisfies the inequality. Here are the steps:

1. Simplify the inequality: 12x - 3y < 12
2. Put the equation in slope-intercept form (y = mx + b): -3y < -12x + 12
3. Divide both sides of the inequality by -3 (remember to flip the inequality sign when dividing by a negative number): y > 4x - 4

Therefore, the solution to the inequality is y > 4x - 4 (option A).