Understanding Absolute Value Inequalities

This tutorial explains how to write absolute value inequalities from graphed solutions. It covers both 'and' and 'or' graphs, detailing how to identify the type of graph, determine the middle value, and calculate the margin of error. The video also provides strategies for verifying solutions and solving inequalities, emphasizing the importance of understanding the symbols used in each type of graph.

What is the first step in writing absolute value inequalities from a graphed solution?

• Identify the type of graph

• Calculate the average of endpoints

• Determine the margin of error

• Solve the inequality

Which symbol is used for 'and' graphs?

• Greater than

• Less than

• Equal to

• Not equal to

How do you find the middle number in an 'and' graph?

• By taking the average of the endpoints

• By using the largest endpoint

• By guessing

• By using the smallest endpoint

What is the purpose of solving backwards problems?

• To confuse students

• To verify the graphed solution

• To find new solutions

• To practice graphing

What visual analogy is used to remember 'or' graphs?

• A mountain

• A tree

• A rowboat

• A car

Which symbol is used for 'or' graphs?

• Equal to

• Greater than or equal to

• Less than

• Not equal to

What is the final step in solving an 'or' graph inequality?

• Writing the inequality

• Graphing the solution

• Determining the margin of error

• Finding the middle number