Solving Inequalities and Their Properties

This video tutorial covers solving inequalities using multiplication and division, including handling fractions and negative numbers. It explains the process of solving basic inequalities, graphing them on a number line, and the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial provides examples and concludes with advanced problems to reinforce the concepts.

What is the primary method used to solve inequalities in this section?

• Using logarithms

• Graphing and plotting

• Multiplication and division

• Addition and subtraction

If 6x ≥ 12, what is the value of x?

• x ≥ 1

• x ≥ 2

• x ≤ 2

• x ≤ 1

How is the solution x ≥ 2 represented on a number line?

• Open circle at 2, arrow to the left

• Closed circle at 2, arrow to the right

• Closed circle at 2, arrow to the left

• Open circle at 2, arrow to the right

What operation is used to solve x/4 < 48?

• Subtraction

• Multiplication

• Division

• Addition

How is the solution x < 48 represented on a number line?

• Open circle at 48, arrow to the right

• Closed circle at 48, arrow to the right

• Open circle at 48, arrow to the left

• Closed circle at 48, arrow to the left

If 5x < 25, what is the value of x?

• x > 5

• x < 5

• x > 25

• x < 25

What is the inverse operation of division?

• Addition

• Subtraction

• Multiplication

• Division

If 7x ≥ 21, what is the value of x?

• x ≤ 21

• x ≥ 21

• x ≤ 3

• x ≥ 3

If 4x ≤ 16, what is the value of x?

• x ≥ 16

• x ≤ 16

• x ≥ 4

• x ≤ 4

What is the reciprocal of 2/3?

• 3/1

• 1/2

• 3/2

• 2/3