Solving Inequalities and Word Problems

The video tutorial covers solving inequalities using inverse operations, including addition, subtraction, multiplication, and division. It provides step-by-step solutions to various problems, including real-world applications, and emphasizes the importance of switching inequality signs when multiplying or dividing by negative numbers. The tutorial concludes with tips on recognizing when to use equations or inequalities.

What is the first step in solving the inequality n + 7 < -3?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 7

• Multiply both sides by 7

When solving 5p ≥ -30, what operation should be performed?

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

In the inequality 14 < k + 11, what is the correct way to rewrite it?

• k > 3

• k < 14

• k < 3

• k > 14

What happens to the inequality sign when you divide both sides by a negative number?

• It flips direction

• It disappears

• It stays the same

• It becomes an equal sign

How do you solve the inequality c - 2.5 ≤ 2.5?

• Multiply both sides by 2.5

• Subtract 2.5 from both sides

• Add 2.5 to both sides

• Divide both sides by 2.5

In the math test scenario, how many more points does Jose need to score to get an A?

• 88

• 100

• 650

• 562

In the scuba diving scenario, what is the maximum depth Laney can reach?

• 100 feet

• 150 feet

• 20 feet

• 50 feet

What is the correct solution for the inequality 2s + 3 > 15?

• s < 6

• s > 9

• s > 6

• s < 9

Which keywords indicate that a situation should be represented by an inequality?

• Exactly

• Greater than

• Equal to

• None of the above