Inequalities and Proportional Relationships

The video tutorial covers solving inequalities, analyzing concert ticket pricing, verifying inequalities with specific values, drawing solution sets, and calculating percentage growth in height. It includes practical examples and mathematical reasoning to help students understand these concepts.

What is the correct direction to shade for the inequality x > -10?

• Shade to the right of -10

• Shade to the left of -10

• Shade both sides of -10

• Do not shade at all

Why is zero not a solution for the inequality problem discussed?

• Because zero is greater than 35

• Because zero is not a number

• Because zero is less than -10

• Because zero does not satisfy the inequality

What should the ticket price be to ensure at least 600 attendees?

• Exactly $8

• More than $8

• Less than $8

• Exactly $10

Why does charging more than $8 for a ticket not make sense?

• It will double the attendance

• It will have no effect on attendance

• It will decrease attendance

• It will increase attendance

Which inequality is true when x = -3?

• Opposite of x minus 6 is greater than 3.5

• Opposite of x minus 6 is equal to -3.5

• Opposite of x minus 6 is less than -3.5

• Opposite of x minus 6 is greater than -3.5

What does the solution set for x ≤ 5 look like?

• An open circle at 5 with shading to the left

• An open circle at 5 with shading to the right

• A filled circle at 5 with shading to the right

• A filled circle at 5 with shading to the left

How is the number 2.5 represented in the solution set?

• As a filled circle

• As an open circle

• As a double circle

• As a shaded circle

What was Claire's height one year ago in inches?

• 48 inches

• 54 inches

• 58 inches

• 60 inches

What is the percentage increase in Claire's height?

• 6.4%

• 8.4%

• 5.4%

• 7.4%

What is the constant of proportionality used in calculating Claire's height increase?

• 0.60

• 0.48

• 0.54

• 0.58