Practice Objectives
- Demonstrate an understanding of the addition property of inequality
- Demonstrate an understanding of the multiplication property of inequality
- Demonstrate the ability to solve a multi-step linear inequality in one variable
- Demonstrate the ability to solve a linear inequality with parentheses
- Demonstrate the ability to solve a linear inequality with decimals
- Demonstrate the ability to solve a linear inequality with fractions
Practice Solving Linear Inequalities with Fractions, Decimals, and Parentheses
Instructions:
Answer 7/10 questions correctly to pass.
Solve each inequality.
Problem:
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Solving a Multi-Step Linear Inequality:
- Simplify each side separately:
- Clear parentheses, fractions, and decimals; then combine any like terms
- Isolate the variable terms on one side:
- Use the addition property of inequality to get all variable terms on one side and all numbers on the other
- Isolate the variable:
- Use the multiplication property of inequality to obtain the form x < k, where < represents any inequality symbol and k is some number
Step-by-Step:
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