Inequalities, Ranges, and Absolute Values

This video tutorial covers solving absolute value, inequality, and compound inequality word problems. It includes examples such as calculating ribbon lengths, determining diastolic blood pressure ranges, and solving budget constraints with magic cards. The tutorial emphasizes understanding key terms like 'highest', 'lowest', and 'range' to identify the type of problem being solved.

What types of word problems are introduced in this video?

• Geometry and trigonometry

• Probability and statistics

• Linear equations and quadratic equations

• Absolute value, inequality, and compound inequality

In the ribbon example, what is the length of the ribbon if it is half an inch longer than 15 inches?

• 14.5 inches

• 15.5 inches

• 15 inches

• 16 inches

What is the absolute value equation for the ribbon length problem?

• |X + 15| ≤ 0.5

• |15 + X| = 0.5

• |X - 15| = 0.5

• |15 - X| ≤ 0.5

Why is the absolute value used in the ribbon length problem?

• To convert inches to centimeters

• To simplify the equation

• To account for both longer and shorter lengths

• To ensure the length is always positive

What is considered a good diastolic blood pressure reading?

• 60

• 90

• 70

• 80

What is the range of good diastolic blood pressure readings?

• 50 to 90

• 60 to 80

• 70 to 90

• 60 to 70

What is the weight range for cats on the Schmaltz farm?

• More than 15 pounds

• More than 6 pounds

• Less than 10 pounds

• Less than 15 pounds

What is the compound inequality for the pet weights on the Schmaltz farm?

• X < 15 or X > 6

• X > 15 and X < 6

• X ≤ 15 and X ≥ 6

• X ≥ 15 or X ≤ 6

How much does a basic magic card cost?

• $5

• $1

• $2

• $3

What is the maximum number of special magic cards James can buy?

• 4

• 1

• 2

• 3