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How much does age matter in a relationship? While some people believe that love knows no bounds, others think that partners should still be relatively close to one another age-wise.

In this lesson, students use a system of linear inequalities to explore the popular dating rule-of-thumb, ‘half plus seven’, and debate how important age -- and other factors -- are in healthy relationships.

Students will

  • Write linear inequalities from a verbal description
  • Graph a system of linear inequalities with a domain restriction
  • Write and solve inequalities to answer real-world questions
  • Find an inverse function

Before you begin

Student should be comfortable using relating equations to graphs. They do not need to have exposure to inequalities prior to this lesson in order to use them throughout.

Common Core Standards

Content Standards
Mathematical Practices