Solving Two-Step Inequalities

The video tutorial covers solving two-step inequalities, building on previous lessons from modules 6 and 7. It includes four examples demonstrating the process of solving inequalities, graphing solutions, and handling operations like addition, subtraction, multiplication, and division. The lesson emphasizes the importance of recalling previous notes and understanding the steps involved in solving inequalities. Homework is assigned for further practice.

What is the primary focus of today's lesson?

• Learning new concepts

• Reviewing previous notes

• Introducing module 8

• Practicing multiplication

Which previous lessons are crucial for understanding today's lesson?

• Lessons 5.3 and 6.3

• Lessons 7.2 and 7.3

• Lessons 6.4 and 7.1

• Lessons 6.1 and 6.2

In Example 1, what is the first operation to undo?

• Subtraction

• Multiplication

• Addition

• Division

What is the final solution for the inequality 2x + 7 > 11?

• x ≥ 2

• x = 2

• x < 2

• x > 2

In Example 2, what is the sum of 11 and 4?

• 10

• 13

• 14

• 15

What type of circle is used to graph the solution for Example 2?

• Solid circle

• Dashed circle

• Closed circle

• Open circle

In Example 3, what is the result of 11 + 10?

• 19

• 20

• 21

• 22

What is the final solution for the inequality x/3 ≤ 21?

• x > 63

• x ≥ 63

• x ≤ 63

• x < 63

In Example 4, what is the product of 12 and 7?

• 72

• 84

• 108

• 96

What happens to the inequality sign when multiplying by a negative number?

• It stays the same

• It changes direction

• It becomes an equal sign

• It disappears