Module 6 Inequalities Flashcard

Front

What is the Division Property of Inequality?

Back

If you divide each side of an inequality by the same nonzero number, the two sides remain equal.

Front

What is an Inequality?

Back

An open sentence that uses >, <, ≥, or ≤ to compare two quantities.

Front

What happens when you multiply each side of an inequality by a negative number?

Back

The inequality symbol must be reversed for the inequality to remain true.

Front

What is the Subtraction Property of Inequality?

Back

If you subtract the same number from each side of an inequality, the inequality remains true.

Front

What is the Addition Property of Inequality?

Back

If you add the same number to each side of an inequality, the two sides remain equal.

Front

What is the Multiplication Property of Inequality?

Back

If you multiply each side of an inequality by a positive number, the inequality remains true.

Front

What is the effect of dividing by a negative number in an inequality?

Back

The inequality symbol must be reversed.

Front

How do you represent an inequality graphically?

Back

Using a number line with open or closed circles to indicate whether endpoints are included.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality uses < or >, while a non-strict inequality uses ≤ or ≥.

Front

Can an inequality have multiple solutions?

Back

Yes, inequalities can represent a range of values that satisfy the condition.