Discounts and Inequalities in Mathematics

The video tutorial covers solving inequalities in a seventh-grade math context. It includes step-by-step solutions to various inequality problems, demonstrating how to manipulate and verify inequalities. The tutorial also covers graphing solutions on a number line and calculating discounts and percentages.

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

• x ≥ -2

• x ≤ -2

• x > -2

• x < -2

When solving 1 ≤ -x/2, what happens to the inequality sign when both sides are multiplied by a negative number?

• The inequality sign is removed

• The inequality sign becomes an equal sign

• The inequality sign flips

• The inequality sign remains the same

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

• x > 50

• x < 50

• x ≥ 50

• x ≤ 50

In the inequality -5(x - 1) > -40, what is the solution for x?

• x ≥ 9

• x ≤ 9

• x > 9

• x < 9

How should the solution x < 9 be represented on a number line?

• A filled circle at 9 with an arrow pointing right

• An open circle at 9 with an arrow pointing left

• A filled circle at 9 with an arrow pointing left

• An open circle at 9 with an arrow pointing right

What was the original price of the earrings before the discount?

• $30.00

• $8.80

• $22.00

• $13.20

How much was the discount on the earrings?

• $8.80

• $4.40

• $13.20

• $22.00

What percentage of the original price was the discount on the earrings?

• 20%

• 30%

• 40%

• 50%

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

• 60%

• 40%

• 10%

• 20%

What is the final sale price of the earrings after the discount?

• $8.80

• $18.00

• $13.20

• $22.00