In this Grade 6 lesson from Big Ideas Math, Advanced 1 (Chapter 7: Equations and Inequalities), students learn to solve one-variable inequalities using the Addition Property of Inequality and the Subtraction Property of Inequality. They practice isolating the variable by applying inverse operations, then representing the solution set on a number line. Real-life problems, such as voting age and manatee growth, help students connect inequality solving to practical contexts.
Section 1
Solving Inequalities Using Addition and Subtraction
Two inequalities are equivalent if they have the same solution set.
The following actions result in an equivalent inequality:
Section 2
Converting Between Equivalent Inequality Forms
Inequalities can be written in equivalent forms by reversing both the variable positions and the inequality symbol direction:
If , then . If , then . If , then . If , then .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Solving Inequalities Using Addition and Subtraction
Two inequalities are equivalent if they have the same solution set.
The following actions result in an equivalent inequality:
Section 2
Converting Between Equivalent Inequality Forms
Inequalities can be written in equivalent forms by reversing both the variable positions and the inequality symbol direction:
If , then . If , then . If , then . If , then .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter