Inequalities and Discount Calculations

This video tutorial covers solving inequalities in a seventh-grade mathematics context. It includes step-by-step solutions to various inequality problems, predictions of values that satisfy inequalities, and graphing solutions on a number line. Additionally, the video explains how to calculate discounts and percentages, providing practical applications of mathematical concepts.

What is the solution set for the inequality -1 ≤ x/2?

• x > -2

• x < -2

• x ≤ -2

• x ≥ -2

If x = -3, does it satisfy the inequality -1 ≤ x/2?

• Yes, because -1 ≥ -1.5

• Yes, because -1 ≤ -1.5

• No, because -1 < -1.5

• No, because -1 > -1.5

What is the solution set for the inequality 1 ≤ -x/2?

• x > -2

• x < -2

• x ≥ -2

• x ≤ -2

Which of the following values of x satisfies the inequality 1 ≤ -x/2?

• x = -3

• x = -1

• x = 0

• x = 2

What is the solution to Diego's inequality 100 - 3x ≥ -50?

• x > 50

• x < 50

• x ≥ 50

• x ≤ 50

How do you solve the inequality -5(x - 1) > -40?

• x < 9

• x > 9

• x ≤ 9

• x ≥ 9

On a number line, how is the solution to -5(x - 1) > -40 represented?

• A closed circle at 9 with an arrow pointing left

• A closed circle at 9 with an arrow pointing right

• An open circle at 9 with an arrow pointing left

• An open circle at 9 with an arrow pointing right

What was the discount amount on the earrings originally priced at $22 and sold for $13.20?

• $9.00

• $8.80

• $8.00

• $7.80

What percentage discount was given on the earrings?

• 40%

• 30%

• 35%

• 45%

If the sale price of the earrings was $13.20, what was the original price?

• $18.00

• $22.00

• $20.00

• $25.00