Inequalities and Their Solutions

The video tutorial covers solving inequalities, starting with simple examples and progressing to real-world problems. It explains the process of isolating variables, using inverse operations, and adjusting inequality directions when multiplying or dividing by negatives. The tutorial also discusses recognizing when to use equations versus inequalities in real-world scenarios.

What is the main focus of Module 7 in the textbook?

• Probability

• Statistics

• Inequalities

• Geometry

How do you solve the inequality n + 7 < -3?

• Subtract 7 from both sides

• Multiply both sides by 7

• Divide both sides by 7

• Add 7 to both sides

What operation is used to solve 5p >= -30?

• Division

• Multiplication

• Subtraction

• Addition

In the inequality 14 < k + 11, what should you subtract from both sides?

• 14

• 3

• 11

• k

What happens to the inequality sign when you multiply or divide by a negative number?

• It stays the same

• It reverses direction

• It becomes an equal sign

• It disappears

How do you solve the inequality c - 2.5 <= 2.5?

• Add 2.5 to both sides

• Subtract 2.5 from both sides

• Multiply both sides by 2.5

• Divide both sides by 2.5

What is the solution to the inequality 12 >= -3b?

• b <= -4

• b >= -4

• b <= 4

• b >= 4

How many more points does Jose need to score to get an A?

• 200

• 150

• 100

• 88

How many minutes can Laney continue to dive without exceeding 100 feet below the surface?

• 20 minutes

• 30 minutes

• 40 minutes

• 50 minutes

What is the first step in solving the inequality 2s + 3 > 15?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 2

• Divide both sides by 2