Understanding Luggage Dimension Inequalities

The video tutorial explains how to determine if the sum of the length, width, and height of luggage exceeds 62 inches, which would incur additional charges on a flight. It introduces the inequality l + w + h ≤ 62 and explains how to find dimensions that satisfy this condition. The tutorial also covers compound inequalities, showing how to express the width as being greater than the length and less than the height. An example is provided with specific dimensions that meet the criteria, demonstrating the calculation process.

What is the maximum sum of the length, width, and height of luggage allowed without an extra charge?

• 62 inches

• 60 inches

• 66 inches

• 64 inches

Which inequality represents the condition for luggage dimensions?

• l + w + h > 62

• l + w + h < 62

• l + w + h ≤ 62

• l + w + h ≥ 62

If the width of the luggage is greater than the length, which inequality is correct?

• w < l

• w > l

• w ≤ l

• w = l

What is the relationship between the width and height of the luggage?

• w > h

• w < h

• w = h

• w ≥ h

How can the compound inequality involving width be expressed more compactly?

• w = l = h

• w < l < h

• l < w < h

• h < w < l

What is the sum of the example dimensions 16, 18, and 20?

• 54

• 56

• 58

• 52

Which of the following is a valid set of dimensions for the luggage?

• l = 20, w = 18, h = 16

• l = 16, w = 18, h = 20

• l = 18, w = 16, h = 20

• l = 15, w = 17, h = 30

What is the correct order of dimensions in the example provided?

• l = 16, w = 18, h = 20

• l = 18, w = 16, h = 20

• l = 20, w = 18, h = 16

• l = 16, w = 20, h = 18

Why is the example set of dimensions valid?

• The sum is more than 62

• The sum is irrelevant

• The sum is less than 62

• The sum is exactly 62

What is the main takeaway from the example provided?

• Only one set of dimensions is possible

• The sum must be more than 62

• Multiple sets of dimensions can satisfy the inequalities

• The example set is incorrect