Lesson 7

1. Lesson 7

1.5. Explore

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

Explore

This shows an illustration of Linked Hybrid, a housing development complex located in Beijing, China.

The Linked Hybrid development is a twenty-first century housing complex located in Beijing, China. The complex is built on more than 15 ac (acres) of land and consists of over two million square feet dedicated to residential and commercial living spaces, entertainment and dining venues, underground parking, and even a kindergarten. This complex is truly a city within a city!

The design and construction of Linked Hybrid is an undertaking that requires consideration of a number of different factors. These factors are known as constraints. Constraints set limits, or boundaries, on what can be developed. Examples of constraints might be the space that is available for construction, the cost of materials and labour, and environmental considerations.

In this lesson you will explore linear and quadratic inequalities. You will learn how to use these inequalities to model situations involving constraints. You will explore multiple ways of graphing inequalities in two variables, with and without technology.

You already saved Module 4 Glossary Terms in your course folder. In this lesson you will define these terms, and maybe others, in your copy of Module 4 Glossary Terms:

constraint
half-plane
boundary
test point
linear inequality in two variables
quadratic inequality in two variables