Inequalities and Their Applications

The video tutorial covers solving inequalities, matching sentences to inequalities, and calculating discounts using inequalities. It includes examples and explanations for each problem, focusing on understanding and applying inequalities in various contexts. The tutorial also discusses representing stories with diagrams and encourages viewers to support the channel.

Which of the following values for x makes the inequality x + 3 > 70 true?

• x = 70

• x = 1

• x = 67

• x = 65

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

• It changes direction

• It becomes an equality

• It disappears

• It stays the same

How does the solution set of the inequality -3x > 18 differ from -3x ≥ 18?

• The first does not include x = -6, the second does.

• The first includes x = -6, the second does not.

• The solution set is the same for both.

• Both include x = -6.

If x represents the amount of money Han has, which inequality represents the situation where Han got $2 from Claire but still has less than $20?

• x + 2 < 20

• x - 2 < 20

• x/2 < 20

• 2x < 20

If Priya had half the money she has, she would have less than $20. Which inequality represents this situation?

• x + 2 < 20

• x/2 < 20

• 2x < 20

• x - 2 < 20

Which inequality represents the situation where Tyler would have less than $20 if he had twice the money he currently has?

• x - 2 < 20

• 2x < 20

• x/2 < 20

• x + 2 < 20

A friend bought a medium pizza for $10.31 with a 30% off coupon. What was the original price of the pizza?

• $12.00

• $14.73

• $13.50

• $15.00

If a coupon makes a large pizza cost $13, and the regular price is $16.25, what percentage discount does the coupon provide?

• 15%

• 20%

• 25%

• 30%

What is the largest pizza your friend can afford with a 15% off coupon and $10?

• Small pizza

• Medium pizza

• Large pizza

• Extra-large pizza

Which story matches the diagram with three x's and one unit, representing a total value of 7?

• Andre spends 7 hours on exams, with 1 hour on English and equal hours on other subjects.

• Lin spends $3 on 7 markers and $1 on a pen.

• Noah shares 7 grapes with 3 friends, eating 1 himself.

• Diego spends $1 on 7 stickers and 3 marbles.