Inequalities and Their Properties

The video tutorial by Mr. Wooley covers the concept of inequalities, focusing on how different operations affect inequality symbols. It explains the preservation of inequality symbols when adding or subtracting the same number from both sides and the reversal of symbols when multiplying or dividing by negative numbers. The tutorial includes practical examples and exercises to reinforce understanding.

What does the symbol '≥' represent in inequalities?

• Greater than

• Less than

• Greater than or equal to

• Less than or equal to

If you add the same number to both sides of an inequality, what happens to the inequality symbol?

• It reverses

• It stays the same

• It disappears

• It becomes an equation

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

• It reverses

• It disappears

• It becomes an equation

• It stays the same

Which operation will preserve the inequality symbol?

• Subtracting a negative number

• Adding a positive number

• Dividing by a negative number

• Multiplying by a negative number

In the example where 6 is compared to 5, what happens when both are multiplied by 2?

• The inequality symbol disappears

• The inequality symbol is preserved

• The inequality symbol reverses

• The numbers become equal

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

• The inequality symbol reverses

• The numbers become equal

• The inequality symbol disappears

• The inequality symbol is preserved

How does multiplying both sides of an inequality by a negative number affect the inequality?

• It has no effect

• It reverses the inequality

• It preserves the inequality

• It makes the numbers equal

In the real-world example, what is the inequality comparing the submarine and scuba diving elevations?

• Submarine is not comparable to scuba diving

• Submarine is lower than scuba diving

• Submarine is higher than scuba diving

• Submarine is equal to scuba diving

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

• It becomes an equation

• It stays the same

• It disappears

• It reverses

Why was the inequality symbol preserved in the example of dividing by a positive number?

• Because the numbers were equal

• Because the operation was addition

• Because the operation was subtraction

• Because the operation was with a positive number