Math Problem Statement

graph y > 2x + 3

Solution

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

  • The dashed red line represents the boundary line y=2x+3y = 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+3y > 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 y2x+3y \geq 2x + 3?
  2. What does the slope of 22 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+3y < 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).

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Math Problem Analysis

Mathematical Concepts

Inequalities
Graphing

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12