Understanding Inequalities and Their Graphs

The video tutorial introduces sixth graders to writing and graphing inequalities. It covers the meaning of inequalities, the symbols used, and how to write inequalities from word sentences. The tutorial explains solution sets and demonstrates how to graph inequalities on a number line. Students are encouraged to practice with examples and check their understanding through practice problems.

What does the symbol '>' represent in inequalities?

• Not equal to

• Greater than

• Less than

• Equal to

Which keyword indicates a 'less than or equal to' relationship?

• At most

• More than

• At least

• Greater than

How would you write 'a number x is less than 5' as an inequality?

• x ≥ 5

• x > 5

• x = 5

• x < 5

In the context of inequalities, what does 'at least' mean?

• Less than or equal to

• Greater than or equal to

• Less than

• Greater than

Which of the following values is a solution for the inequality x + 2 ≤ 7?

• x = 6

• x = 5

• x = 8

• x = 7

What does the solution set of an inequality represent?

• No values make the inequality true

• All possible values that make the inequality true

• All possible values that make the inequality false

• Only one value that makes the inequality true

What type of circle is used on a number line to represent a value that is not included in the solution set?

• Closed circle

• Open circle

• Dotted circle

• Shaded circle

How would you graph the inequality x ≥ 3 on a number line?

• Closed circle at 3, shade to the right

• Open circle at 3, shade to the left

• Open circle at 3, shade to the right

• Closed circle at 3, shade to the left

If a cruise ship can carry at most 3500 passengers, which inequality represents this situation?

• p < 3500

• p ≥ 3500

• p > 3500

• p ≤ 3500

If a board game is designed for ages 12 and up, which inequality represents the age requirement?

• a < 12

• a > 12

• a ≤ 12

• a ≥ 12