 # Solution Sets to Inequalities with Two Variables

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Lesson Plans and Worksheets for Algebra I
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Common Core For Algebra I

Examples, videos, and solutions to help Algebra I students learn how to find solution sets to two-variable inequalities.

### New York State Common Core Math Algebra I, Module 1, Lesson 21

Worksheets for Algebra I, Module 1, Lesson 21 (pdf)

Student Outcomes

Students recognize and identify solutions to two-variable inequalities. They represent the solution set graphically. They create two variable inequalities to represent a situation.

Students understand that a half-plane bounded by the line is a visual representation of the solution set to a linear inequality such as . They interpret the inequality symbol correctly to determine which portion of the coordinate plane is shaded to represent the solution.

Lesson Summary

An ordered pair is a solution to a two variable inequality if, when each number is substituted into its corresponding variable, it makes the inequality a true number sentence.
Each ordered pair of numbers in the solution set of the inequality corresponds to a point on the coordinate plane.

The set of all such points in the coordinate plane is called the graph of the inequality.

The graph of a linear inequality in the coordinate plane is called a half-plane.

Exit Ticket

What pairs of numbers satisfy the statement: The sum of two numbers is less than 10?

Create an inequality with two variables to represent this situation and graph the solution set.

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