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Pre-Algebra 7: Chapter 4 - Inequalities

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Questions and Answers

What does the Addition Property of Inequality state?

If you add the same value to each side of an inequality, the relationship between the two sides does not change.

What is the Division Property of Inequality?

If you divide an inequality by a positive number, the direction of the inequality is unchanged. If you divide by a negative number, you reverse the direction of the inequality sign.

What is an inequality?

A mathematical sentence that contains one of the signs less than, greater than, less than or equal to, greater than or equal to, or not equal to.

What does the Multiplication Property of Inequality state?

If you multiply an inequality by a positive number, the direction of the inequality is unchanged. If you multiply by a negative number, reverse the direction of the inequality sign. Signup and view all the answers

What is a solution of an inequality?

Any value that makes the inequality true. Signup and view all the answers

What does the Subtraction Property of Inequality state?

When you subtract the same number from each side of an inequality, the relationship between the two sides does not change. Signup and view all the answers

Study Notes

Properties of Inequality

Addition Property of Inequality: Adding the same number to both sides of an inequality does not affect the inequality's relationship.
Subtraction Property of Inequality: Subtracting the same number from both sides maintains the relationship of the inequality.
Multiplication Property of Inequality: Multiplying by a positive number keeps the inequality direction the same; multiplying by a negative number reverses the inequality sign.
Division Property of Inequality: Dividing by a positive number maintains inequality direction; dividing by a negative number reverses the sign.

Understanding Inequality

Definition of Inequality: A mathematical expression showing the relationship of two quantities using symbols such as <, >, ≤, ≥, or ≠.
Solution of an Inequality: Any value that satisfies the inequality, making it true, is considered a solution.

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Description

This quiz focuses on key concepts from Chapter 4 of Pre-Algebra 7, specifically on inequalities and their properties. You'll learn about the Addition Property and Division Property of Inequality, essential tools for solving inequalities. Test your knowledge and strengthen your understanding of these mathematical principles.