Exploring Inequalities in Mathematics

The video tutorial teaches how to write and graph inequalities to represent real-world situations. It introduces clue words that help determine which inequality symbol to use. Several examples are provided, including temperature, fundraising, weight, police officers, age, books, and money. The tutorial also covers graphing inequalities on a number line, emphasizing open and closed circles based on the inequality type.

Which clue word would indicate the use of a 'less than' symbol?

• No more than

• Under

• At least

• Over

If a temperature is described as 'less than or equal to 8 degrees Fahrenheit', which inequality symbol should be used?

• >=

• <

• >

• <=

The directors of an animal shelter need to raise more than $50,000. Which inequality represents this situation?

• m > 50000

• m >= 50000

• m <= 50000

• m < 50000

How would you graph the inequality 'p > 7' on a number line?

• Closed circle at 7, shade to the right

• Open circle at 7, shade to the right

• Closed circle at 7, shade to the left

• Open circle at 7, shade to the left

What does a closed circle on a number line indicate?

• The inequality is not strict

• The number is not included in the solution

• The number is included in the solution

• The inequality is strict

If the height limit of an underpass is 16 feet, which inequality represents this situation?

• h > 16

• h >= 16

• h <= 16

• h < 16

For the inequality 'a >= 16', what does the variable 'a' represent?

• The age of a person

• The number of police officers

• The number of books

• The weight of an object

If Jim read more than 120 books, which inequality represents this situation?

• b > 120

• b >= 120

• b < 120

• b <= 120

How would you graph the inequality 'm < 10' on a number line?

• Closed circle at 10, shade to the right

• Open circle at 10, shade to the left

• Closed circle at 10, shade to the left

• Open circle at 10, shade to the right

If at least 100 students were on the playground, which inequality represents this situation?

• s < 100

• s >= 100

• s > 100

• s <= 100