Manitoba
15. Solve problems involving linear and quadratic inequalities in two variables
15.1 Graphing linear inequalities in two variables
Chapter 15.1
Graphing Linear Inequalities in Two Variables
Unlock the power of visual mathematics by mastering the art of graphing linear inequalities. Learn essential techniques for shading, using test points, and interpreting solution regions on the xy-plane.
What You'll Learn
Identify linear functions and understand their graphical representation as straight lines
Graph linear equalities by plotting points and drawing solid lines
Distinguish between solid and dashed lines when graphing inequalities
Apply shading techniques to represent solution regions for linear inequalities
Interpret greater than and less than symbols to shade above or below boundary lines
Graph solutions on both number lines and the xy-plane
What You'll Practice
1
Graphing linear equations using table of values and connecting points
2
Converting inequalities to graphs with appropriate solid or dashed lines
3
Shading solution regions above or below lines based on inequality signs
4
Verifying solutions by testing points within and outside shaded regions
5
Graphing vertical and horizontal lines for single-variable inequalities
Why This Matters
Graphing linear inequalities is essential for solving real-world problems involving constraints, like budgeting or optimization. This skill forms the foundation for advanced topics in algebra, calculus, and linear programming that you'll encounter in higher math and STEM careers.
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Linear Inequalities
Graphing
Solution Regions
Coordinate Plane
Shading Techniques
Boundary Lines
Inequalities
MB Curriculum Aligned
