Properties of Inequalities and Equality

This lesson, led by Mrs. Apia, covers the properties of inequalities, focusing on when inequality symbols are preserved or reversed. The lesson begins with a review of equality properties, then explores inequalities through various operations. Students learn that adding or subtracting the same number to both sides of an inequality preserves the symbol, while multiplying or dividing by a positive number also preserves it. However, multiplying or dividing by a negative number reverses the inequality symbol. The lesson includes practical examples and exercises to reinforce these concepts.

What is the main focus of Lesson 12?

• Properties of inequalities

• Properties of equality

• Properties of multiplication

• Properties of addition

Which property states that if a = b, then a + c = b + c?

• Multiplication property of equality

• Subtraction property of equality

• Addition property of equality

• Division property of equality

When is an inequality reversed?

• When multiplying by a positive number

• When multiplying or dividing by a negative number

• When subtracting a negative number

• When adding a positive number

What does it mean to preserve an inequality symbol?

• The symbol is replaced with an equal sign

• The symbol is removed

• The symbol remains the same

• The symbol changes direction

What happens to the inequality symbol when you add the same number to both sides?

• It is removed

• It becomes an equal sign

• It is preserved

• It is reversed

What is the result of multiplying both sides of an inequality by a positive number?

• The inequality symbol is removed

• The inequality symbol becomes an equal sign

• The inequality symbol is preserved

• The inequality symbol is reversed

What must be done to the inequality symbol when dividing by a negative number?

• Remove the symbol

• Reverse the symbol

• Preserve the symbol

• Replace with an equal sign

When is the inequality symbol preserved?

• When multiplying by zero

• When adding or subtracting any number

• When dividing by a negative number

• When multiplying by a negative number