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Lesson 222 of 1524

2.14 Solutions to Systems of Linear Inequalities in Two Variables

You recalled that a solution to a linear equation in two variables is any pair of numbers that makes the equation true, and that a solution to a system of two equations in two variables is a pair of numbers that makes…

Practice this chapter

You recalled that a solution to a linear equation in two variables is any pair of numbers that makes the equation true, and that a solution to a system of two equations in two variables is a pair of numbers that makes… This served to motivate a desire to represent both constraints on the same graph

Your focus was on thinking about each pair of constraints as a system, finding the solution region of each inequality, and identifying a point in the region where the graphs overlap as a solution to the system You began to graph systems of inequalities

Be able to write a system of inequalities to describe a situation, find the solution by graphing, and interpret points in the solution; explain what is meant by “the solutions to a system of inequalities” and describe the graphs that represent the solutions; find values that satisfy each constraint individually, and values that satisfy both constraints at once, when given descriptions and graphs that represent two….

Worked example

What does this chapter state?

  1. 1You recalled that a solution to a linear equation in two variables is any pair of numbers that makes the equation true, and that a solution to a system of two equations in two variables is a pair of numbers that makes…
  2. 2That claim is the chapter’s own statement.
  3. 3Answer from the claim, not from where the chapter sits in the book.

Result: You recalled that a solution to a linear equation in two variables is any pair of numbers that makes the equation true, and that a solution to a system of two equations in two variables is a pair of numbers that makes…

Why. The sentence is taken from this chapter’s summary or key concepts.

Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.