Understanding Inequalities and Their Applications

This video tutorial covers solving inequalities using inverse operations, including addition, subtraction, multiplication, and division. It also applies these concepts to real-world scenarios, such as determining scores needed for grades and calculating descent rates in scuba diving. The tutorial concludes with guidance on recognizing when to use equations versus inequalities.

What is the solution to the inequality n + 7 < -3?

• n = -10

• n > -10

• n ≤ -10

• n < -10

When solving 5p ≥ -30, what is the value of p?

• p > -6

• p < -6

• p ≤ -6

• p ≥ -6

How does the inequality sign change when you multiply both sides by a negative number?

• It becomes an equal sign

• It reverses

• It becomes a less than sign

• It stays the same

What is the solution to the inequality 12 ≥ -3b?

• b > -4

• b < -4

• b ≥ -4

• b ≤ -4

If Jose has 562 points and needs at least 650 to get an A, how many more points does he need?

• 88

• 90

• 92

• 85

Laney starts at 20 feet below the surface and descends at 20 feet per minute. How many minutes can she descend without exceeding 100 feet below?

• 6 minutes

• 3 minutes

• 4 minutes

• 5 minutes

What inequality represents Laney's descent if she doesn't want to go more than 100 feet below the surface?

• 20 + 20m ≤ -100

• 20 + 20m ≥ -100

• 20 + 20m < -100

• 20 + 20m > -100

Which keyword indicates that a situation should be represented by an inequality?

• Identical

• Greater than

• Exactly

• Equal to

Which of the following is NOT a keyword for inequalities?

• Equal to

• At least

• Less than

• At most

How can you identify if a real-world problem should be modeled with an inequality?

• Look for terms like 'equal to'

• Look for exact values

• Look for terms like 'at least'

• Look for terms like 'identical'