Properties of Inequalities

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 introduces inequality properties and vocabulary. Through various stations, students explore how adding, subtracting, multiplying, and dividing affect inequalities, with a focus on the impact of positive and negative numbers. The lesson concludes with a summary of when inequality symbols are preserved or reversed.

What is the main focus of Lesson 12 in Module 3?

• Properties of subtraction

• Properties of addition

• Properties of inequalities

• Properties of equality

When is an inequality symbol said to be preserved?

• When it is replaced by an equal sign

• When it changes direction

• When it remains the same

• When it is removed

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

• It is reversed

• It becomes an equal sign

• It is removed

• It is preserved

In the context of inequalities, what does it mean to 'preserve' the inequality symbol?

• The symbol changes direction

• The symbol remains unchanged

• The symbol is removed

• The symbol is replaced with an equal sign

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

• The inequality symbol becomes an equal sign

• The inequality symbol is removed

• The inequality symbol is preserved

• The inequality symbol is reversed

When dividing both sides of an inequality by a positive number, what happens to the inequality symbol?

• It becomes an equal sign

• It is removed

• It is preserved

• It is reversed

What happens to the inequality symbol when you multiply both sides by a negative number?

• It is reversed

• It is preserved

• It is removed

• It becomes an equal sign

When dividing both sides of an inequality by a negative number, what must be done to the inequality symbol?

• It must be preserved

• It must be reversed

• It must be removed

• It must become an equal sign

What is the effect on the inequality symbol when both sides are multiplied by a negative number?

• The symbol is reversed

• The symbol becomes an equal sign

• The symbol is preserved

• The symbol is removed

In which scenario is the inequality symbol reversed?

• When adding a positive number

• When subtracting a negative number

• When multiplying by a negative number

• When dividing by a positive number