Here is the graph of the inequality \( y > 2x + 3 \):

- The **dashed red line** represents the boundary line \( y = 2x + 3 \). Points on this line are not included in the solution.
- The **shaded region above the line** indicates the solution set where \( y > 2x + 3 \).

Would you like more details or have any questions? Here are some related questions to consider:

1. How does the graph change if the inequality is \( y \geq 2x + 3 \)?
2. What does the slope of \( 2 \) indicate about the line?
3. How do you determine the y-intercept from the equation?
4. What happens to the graph if you change the inequality to \( y < 2x + 3 \)?
5. How do you find where two inequalities intersect on a graph?

**Tip:** When solving inequalities graphically, always pay attention to whether the boundary line is included (solid line) or not included (dashed line).

Explore the graph of the inequality y > 2x + 3 with a detailed explanation and visual representation. Understand how to interpret the dashed red boundary line and the shaded region above it. This problem covers key concepts in inequalities and graphing. Suitable for high school students.

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