Understanding Inequalities and Operations

Mrs. Lopez introduces inequalities, explaining their properties and how they differ from equations. The lesson covers the preservation and reversal of inequality signs through various operations, including addition, subtraction, multiplication, and division. Examples are provided to illustrate these concepts, emphasizing the importance of understanding when signs are preserved or reversed. The lesson concludes with a summary of key points and encourages students to practice independently.

What is the main difference between equations and inequalities?

• Both equations and inequalities have equal signs.

• Equations have an equal sign, while inequalities do not.

• Inequalities have an equal sign, while equations do not.

• Equations and inequalities are the same.

Which of the following is NOT an inequality sign?

• Greater than

• Less than

• Equal to

• Greater than or equal to

When you add or subtract the same number from both sides of an inequality, what happens to the inequality sign?

• It reverses.

• It becomes an equal sign.

• It disappears.

• It stays the same.

If you multiply both sides of an inequality by a negative number, what must you do to the inequality sign?

• Change it to an equal sign.

• Reverse it.

• Keep it the same.

• Remove it.

What happens to the inequality sign when you multiply or divide both sides by a positive number?

• It disappears.

• It reverses.

• It stays the same.

• It becomes an equal sign.

Which operation requires reversing the inequality sign?

• Dividing by a positive number

• Adding a positive number

• Subtracting a negative number

• Multiplying by a negative number

What is the result of dividing both sides of an inequality by a negative number?

• The inequality becomes an equation.

• The inequality sign reverses.

• The inequality sign is removed.

• The inequality sign stays the same.

In which scenario is the inequality sign preserved?

• Subtracting a positive number

• Adding a positive number

• Dividing by a negative number

• Multiplying by a negative number

What should you do to the inequality sign when multiplying both sides by a fraction?

• Reverse it if the fraction is negative.

• Always reverse it.

• Remove it.

• Keep it the same if the fraction is positive.

Which of the following operations will NOT change the inequality sign?

• Subtracting a positive number

• Multiplying by a negative number

• Dividing by a positive number

• Adding a negative number