Inequalities and Their Operations

This video tutorial covers the properties of inequalities, focusing on when to preserve or reverse inequality symbols. It explains how adding, subtracting, multiplying, and dividing numbers affect inequalities, particularly when dealing with negative numbers. The lesson emphasizes the importance of understanding the operations that preserve or reverse inequality symbols and provides examples to illustrate these concepts.

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

• The inequality becomes an equation.

• The inequality symbol reverses.

• The inequality symbol remains the same.

• The inequality symbol disappears.

When multiplying both sides of an inequality by a negative number, what must you do?

• Keep the inequality symbol the same.

• Subtract a negative number from both sides.

• Add a positive number to both sides.

• Reverse the inequality symbol.

In which scenario is it necessary to reverse the inequality symbol?

• When multiplying by a negative number.

• When adding a positive number to both sides.

• When subtracting a negative number from both sides.

• When dividing by a positive number.

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

• The inequality symbol remains unchanged.

• The inequality symbol reverses.

• The inequality symbol disappears.

• The inequality becomes an equation.

If you divide both sides of an inequality by a positive number, what happens to the inequality symbol?

• It reverses.

• It remains unchanged.

• It disappears.

• It becomes an equation.

What should you do if you multiply both sides of an inequality by a positive number?

• Subtract a positive number from both sides.

• Add a negative number to both sides.

• Keep the inequality symbol the same.

• Reverse the inequality symbol.

What is the effect of multiplying both sides of an inequality by zero?

• The inequality symbol disappears.

• The inequality symbol remains unchanged.

• The inequality becomes an equation.

• The inequality symbol reverses.

What is the 'keep, change, flip' method used for?

• Dividing by fractions.

• Subtracting integers.

• Multiplying by negative numbers.

• Adding fractions.

When dividing an inequality by a fraction, what is the first step?

• Multiply by the reciprocal of the fraction.

• Reverse the inequality symbol.

• Add the fraction to both sides.

• Subtract the fraction from both sides.

What should you remember when performing operations on inequalities?

• Only add positive numbers.

• Ignore the inequality symbol.

• Explain clearly why you preserve or reverse the inequality.

• Always reverse the inequality symbol.