Multiplication Property of Inequalities

The video tutorial explains the multiplication property of inequalities, focusing on two cases: when the multiplier C is greater than zero and when it is less than zero. It emphasizes that multiplying both sides of an inequality by a positive number does not change the direction of the inequality. The tutorial includes examples to demonstrate solving inequalities with positive multipliers, including handling fractions.

What are the two cases in the multiplication property of inequality based on?

• The value of C

• The value of X

• The value of B

• The value of A

In Case 1 of the multiplication property of inequality, what happens when C is greater than zero?

• The inequality sign remains the same

• The inequality sign changes direction

• The inequality sign is removed

• The inequality becomes an equation

If a < b and C > 0, what can be said about a * C and b * C?

• a * C is undefined

• a * C < b * C

• a * C = b * C

• a * C > b * C

In the example problem, what is the value of C used to solve 1/2 x > 7?

• 7

• 2

• 1

• 14

What is the result of multiplying both sides of 1/2 x > 7 by 2?

• x = 14

• x > 7

• x < 14

• x > 14

Why does the inequality sign remain the same when multiplying by a positive number?

• Because positive numbers do not exist

• Because positive numbers are equal to zero

• Because positive numbers are less than zero

• Because positive numbers are greater than zero

What is the result of multiplying 2 by 1/2 in the example problem?

• 2

• 1

• 0

• 4

In the fraction example, what is the initial inequality given?

• 1/3 < 1/5 x

• 1/3 > 1/5 x

• 1/3 = 1/5 x

• 1/3 >= 1/5 x

What number is used to eliminate the fraction 1/5 in the inequality 1/3 < 1/5 x?

• 3

• 1/5

• 5

• 1/3

After solving the inequality 1/3 < 1/5 x, what is the final expression for x?

• x <= 5/3

• x > 5/3

• x = 5/3

• x < 5/3