Final answer:
To solve for x when y = 0 and y > 3/2x + 3/2, the solution for x is x < -1.
Step-by-step explanation:
Solving for x when y = 0 and y > 3/2x + 3/2:
To solve for x when y = 0, we can substitute y = 0 into the inequality y > 3/2x + 3/2. This gives us 0 > 3/2x + 3/2. To find x, we need to isolate it on one side of the equation. Here are the steps:
- Subtract 3/2 from both sides: 0 - 3/2 > 3/2x
- Simplify: -3/2 > 3/2x
- Divide both sides by 3/2 to solve for x: -3/2 ÷ (3/2) > x
- Simplify: -3/2 * (2/3) > x
- Simplify further: -1 > x
Therefore, when y = 0 and y > 3/2x + 3/2, the solution for x is x < -1.