Unit 3, Lesson 13
Solutions of Inequalities
Accelerated 7
Preparation
Lesson Narrative
In this lesson, students build on their understanding of the “solution of an equation” to make sense of the solution to an inequality as a number that can be used in place of the variable to make the inequality true. And while the equations students solved previously generally had one solution, the inequalities in this unit have many, sometimes infinitely many, solutions.
Constraints in real-world situations reduce the range of possible solutions. Students reason abstractly by using inequalities or graphs of inequalities to represent those situations and by interpreting the solutions (MP2). Students think carefully about whether to include boundary values as solutions of inequalities in various contexts.
- Comprehend the terms “less than or equal to” and “greater than or equal to” (in spoken and written language) and the symbols ≤ and ≥ (in written language).
- Draw and label a number line diagram to represent the solutions to an inequality.
- Recognize and explain (orally and in writing) that an inequality may have infinitely many solutions.
- Use substitution to determine whether a given value for a variable makes an inequality true, and justify (orally) the answer.
Let’s think about the solutions to inequalities.
Required Preparation
None