Understanding Inequalities and Their Symbols

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 try on their own.

What does the symbol '>' represent in inequalities?

• Less than

• Greater than

• Equal to

• Not equal to

What does the inequality symbol '≤' mean?

• Greater than or equal to

• Less than or equal to

• Greater than

• Less than

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 represents 'a number is no less than 5'?

• x ≤ 5

• x > 5

• x ≥ 5

• x < 5

If x + 3 ≤ 7, which of the following is a solution for x?

• x = 3

• x = 4

• x = 5

• x = 6

If 2x < 8, which of the following is a possible value for x?

• x = 3

• x = 6

• x = 4

• x = 5

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

• Closed circle

• Open circle

• Shaded circle

• Dotted circle

In graphing the inequality x ≥ 3, which direction should the shading go on the number line?

• Both directions

• To the left

• No shading

• To the right

How would you write an inequality for a temperature that must not exceed 2600 degrees?

• t > 2600

• t < 2600

• t ≤ 2600

• t ≥ 2600

In the context of a board game designed for ages 12 and up, how would you express the age requirement as an inequality?

• a ≥ 12

• a ≤ 12

• a > 12

• a < 12