Understanding Inequalities and Their Representations

The video tutorial introduces sixth graders to writing and graphing inequalities. It covers the basic vocabulary and symbols used in inequalities, explains how to write inequalities from word sentences, and discusses solution sets. The tutorial also demonstrates how to graph inequalities on a number line and provides practice problems for students to solve.

What does the symbol '>' represent in inequalities?

• Not equal to

• Less than

• Greater than

• Equal to

How would you express 'a number is at most 10' as an inequality?

• x ≤ 10

• x ≥ 10

• x < 10

• x > 10

Which of the following values is a solution for the inequality x + 2 ≤ 5?

• x = 4

• x = 3

• x = 5

• x = 6

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

• Open circle

• Closed circle

• Shaded circle

• Dotted circle

If a graph shows a closed circle at 3 and shades to the right, what inequality does it represent?

• x > 3

• x ≤ 3

• x < 3

• x ≥ 3

How would you write an inequality for a temperature that must not exceed 100 degrees?

• t > 100

• t < 100

• t ≥ 100

• t ≤ 100

What does 'at least' mean in terms of inequalities?

• Less than

• Less than or equal to

• Greater than or equal to

• Greater than

In the context of inequalities, what does a shaded arrow on a number line indicate?

• The end of the solution set

• The direction of decreasing values

• The direction of increasing values

• The start of the solution set

Which inequality represents a cruise ship that can carry no more than 3500 passengers?

• 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