Solution Sets to Inequalities with Two Variables

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

Worksheets for Algebra 1

Printable “Linear Inequality” worksheets:
Solve 1-step inequalities (addition & subtraction)
Solve 1-step inequalities (multiplication & division)
Solve 1-step inequalities (all operations)
Solve linear inequalities (include number lines)
Graph compound inequalities on the number line
Solve & graph compound inequalities

Solve & graph inequalities with two variables

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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