Solving One-Step Inequalities: Multiplication and Division Techniques

The video tutorial by Mr. J covers solving multiplication and division one-step inequalities. It explains the process of isolating the variable using inverse operations and maintaining balance by performing the same operation on both sides. The tutorial highlights the difference between equations and inequalities, emphasizing that inequalities have infinite solutions. Through four examples, the video demonstrates solving inequalities by dividing or multiplying both sides and discusses the need to flip the inequality sign when multiplying or dividing by a negative number.

What is the main difference between solving equations and inequalities?

• Equations and inequalities both have multiple solutions.

• Equations have one solution, while inequalities have multiple solutions.

• Equations have multiple solutions, while inequalities have one solution.

• Equations and inequalities both have one solution.

In the inequality 2y < 8, what operation is used to isolate the variable y?

• Division

• Addition

• Subtraction

• Multiplication

If y < 4, which of the following values is a solution for y?

• 5

• 4

• 3

• 6

In the inequality x/6 ≥ 4, what operation is used to isolate the variable x?

• Subtraction

• Division

• Addition

• Multiplication

If x ≥ 24, which of the following values is a solution for x?

• 20

• 22

• 24

• 23

In the inequality -5 > z/7, what operation is used to isolate the variable z?

• Multiplication

• Subtraction

• Division

• Addition

If z < -35, which of the following values is a solution for z?

• -25

• -40

• -35

• -30

In the inequality -9r ≤ -36, what must be done to the inequality sign when dividing by a negative number?

• Keep it the same

• Change it to an equal sign

• Flip it

• Remove it

If r ≥ 4, which of the following values is a solution for r?

• 1

• 4

• 2

• 3

What is the result of dividing -36 by -9 in the inequality -9r ≤ -36?

• 36

• -36

• 4

• -4