Solving Inequalities and Their Properties

The video tutorial by Mr. J covers solving two-step inequalities through four examples. It explains the process of isolating the variable using inverse operations, similar to solving two-step equations. The tutorial emphasizes the importance of flipping the inequality symbol when multiplying or dividing by a negative number. Each example is solved step-by-step, demonstrating the application of these principles.

What is the first step in solving a two-step inequality?

• Isolate the variable

• Add a constant to both sides

• Multiply both sides by a negative number

• Flip the inequality symbol

In the inequality 7X - 3 > 18, what operation should be performed first?

• Subtract 3

• Multiply by 7

• Add 3

• Divide by 7

When solving y / -2 + 5 >= 9, why do we flip the inequality symbol?

• Because we add a positive number

• Because we subtract a positive number

• Because we multiply or divide by a negative number

• Because we isolate the variable

What is the solution to the inequality y / -2 + 5 >= 9?

• y is greater than 8

• y is less than or equal to 8

• y is less than 8

• y is greater than or equal to 8

In the inequality -4n + 6 >= -14, what is the result after isolating n?

• n is less than or equal to 5

• n is less than 5

• n is greater than 5

• n is greater than or equal to 5

What is the first step in solving the inequality 3 > m / 9 - 8?

• Multiply both sides by 9

• Divide both sides by 9

• Add 8 to both sides

• Subtract 8 from both sides

What is the solution to the inequality 3 > m / 9 - 8?

• m is greater than 99

• m is less than 99

• m is greater than or equal to 99

• m is less than or equal to 99

Why is it important to flip the inequality symbol when multiplying or dividing by a negative number?

• To simplify the equation

• To ensure the solution is correct

• To isolate the variable

• To keep the inequality balanced

What is the inverse operation of division when solving inequalities?

• Division

• Subtraction

• Addition

• Multiplication

In the context of inequalities, what does it mean to 'isolate the variable'?

• To multiply both sides by a negative number

• To flip the inequality symbol

• To ensure the variable is on one side of the inequality

• To add a constant to both sides