solve and graph on the x-y axis, 2x-y > 3

Here's the graph of the inequality \(2x - y > 3\):

- The red dashed line represents the boundary line \(2x - y = 3\).
- The shaded region above the line represents all the points \((x, y)\) that satisfy the inequality \(2x - y > 3\).

Would you like more details or have any questions?

Here are five related questions:
1. How would the graph change if the inequality was \(2x - y \geq 3\)?
2. What are the x- and y-intercepts of the boundary line?
3. How do you determine the solution set for a system of inequalities?
4. How would the graph change if the inequality was \(2x - y < 3\)?
5. What would the graph look like if the inequality was reversed to \(y - 2x > -3\)?

**Tip:** Testing a point like the origin \((0, 0)\) is a quick way to determine which side of the boundary line to shade.

Learn how to graph the inequality 2x - y > 3 on the Cartesian plane with a detailed explanation and step-by-step graphing instructions. This problem covers key algebraic concepts of inequalities and graphing on the Cartesian plane, suitable for students in Grades 7-9.

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