Manitoba
11. Model and solve problems that involve systems of linear inequalities in two variables
11.5 Applications of inequalities
Chapter 11.5
Applications of Inequalities: From Theory to Practice
Discover how inequalities shape real-world decision-making. Master techniques for solving complex problems, from budgeting to production planning, and enhance your analytical skills.
What You'll Learn
Translate word problem phrases into inequality symbols (at least, no more than, etc.)
Set up inequalities from real-world scenarios involving budgets and constraints
Graph linear inequalities by finding intercepts and choosing solid or dashed lines
Identify solution regions by interpreting inequality symbols and testing points
Solve systems of linear inequalities by finding overlapping solution regions
What You'll Practice
1
Writing inequalities from word problems with revenue and cost constraints
2
Graphing inequalities with two variables and shading correct regions
3
Determining solid vs. dashed lines based on inequality symbols
4
Finding solution regions for systems of two linear inequalities
Why This Matters
Understanding inequality applications prepares you for real-world problem-solving in budgeting, business planning, and resource management. Whether you're calculating profit margins, managing expenses, or optimizing choices under constraints, this skill is essential for practical decision-making in everyday life and future careers.
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Inequalities
Word Problems
Graphing
Systems of Inequalities
Linear Equations
Real-World Applications
Solution Regions
MB Curriculum Aligned
