Solving Linear Inequalities Using Addition and Subtraction

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 2-

Question

Question:
Solve each inequality and graph the solution on a number line. Part a: x plus 9 is less than 14. Part b: m minus 6 is greater than or equal to negative 2. Part c: 7 plus y is less than or equal to 3. For part c, a student claims the solution is y is less than or equal to 10. Find and explain the student's error, then give the correct solution.

Solving Linear Inequalities Using Addition and Subtraction

This lesson covers solving one-step linear inequalities by applying the Addition and Subtraction Property of Inequalities, graphing solutions on a number line, and identifying common errors. Students practice three inequalities and analyze a worked example containing a mistake to deepen conceptual understanding.

In this lesson, you will learn to:
• Apply the Addition and Subtraction Property of Inequalities to isolate a variable and solve one-step inequalities
• Graph solution

Step-by-step video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra 1 · Big Ideas Math · Ron Larson.

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