Solving Inequalities and Discounts

The video tutorial covers solving inequalities in a seventh-grade mathematics 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. Each problem is explained in detail, with examples to illustrate the concepts.

What is the range of x values that satisfy the inequality -1 ≤ x/2?

• x < -2

• x > -2

• x ≤ -2

• x ≥ -2

Which of the following values of x will NOT satisfy the inequality -1 ≤ x/2?

• x = 2

• x = -3

• x = 0

• x = -1

What is the correct range of x values for the inequality 1 ≤ -x/2?

• x < -2

• x > -2

• x ≤ -2

• x ≥ -2

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

• x = 3

• x = 1

• x = 0

• x = -3

What is the solution to Diego's inequality problem 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 to the inequality -5(x - 1) > -40 be represented on a number line?

• A filled circle at 9 with an arrow pointing left

• An open 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 right

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

• $8.00

• $7.80

• $9.00

• $8.80

What percentage discount was applied to the earrings originally priced at $22 and sold for $13.20?

• 35%

• 45%

• 30%

• 40%

If the sale price of an item is $13.20 after a 40% discount, what was the original price?

• $18.00

• $22.00

• $25.00

• $20.00