Graphing Inequalities

The video tutorial explains how to represent inequalities using graphs, specifically on a number line. It begins with an introduction to inequalities and equations, followed by a detailed explanation of how to graph inequalities. The tutorial covers the use of open and closed circles to indicate whether a number is included in the set. It also discusses common mistakes made when graphing inequalities and provides tips for avoiding these errors. The video emphasizes the importance of understanding inequality signs and their graphical representation.

What does the inequality 5 > x imply about the values of x?

• x is not a number

• x is less than 5

• x is equal to 5

• x is greater than 5

How can you remember which side of the inequality sign is greater?

• Think of the sign as an alligator mouth

• Think of the sign as a bird's beak

• Think of the sign as a snake's tongue

• Think of the sign as a fish's fin

How do you represent numbers less than 5 on a number line?

• Shade the line to the right of 5

• Shade the line to the left of 5

• Put a closed circle on 5

• Put a dot on 5

What does an open circle on a number line indicate?

• The number is not included in the set

• The number is less than the set

• The number is included in the set

• The number is greater than the set

How does the graph change when the inequality is 5 ≥ x?

• The line is shaded to the left with an open circle on 5

• The line is shaded to the right

• The line is shaded to the left with a closed circle on 5

• The line is not shaded

What is the purpose of a closed circle on a number line?

• To include the number in the set

• To indicate the number is less

• To indicate the number is greater

• To exclude the number from the set

Which inequality sign uses a closed circle on a graph?

• Not-equal-to

• Greater-than

• Less-than

• Less-than or equal-to