Complete the following Venn diagram problem .

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If you have any difficulty with these solutions, please contact your teacher before continuing.

 

    1. Sarah conducted a survey of teen gaming preferences. Here are her results:
      • 20 teens play online games.
      • 20 play on a game console.
      • 20 play games on their cellphone.

 

She surveyed only 31 teens. How can this be? Show a possible solution using a Venn diagram.

 

Read pages 40-41 Example 1 in your textbook, Principles of Mathematics 12 .

Complete the Your Turn question on page 42 for more practice solving a puzzle using Venn diagrams.

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Watch the Solving Problems with Venn Diagrams video to see more examples of using Venn diagrams for problem solving.


 

As mentioned in Lesson 1B, frequently you are expected to analyze the solution to a given problem, determine if the solution contains any mistakes, and identify the mistakes. Complete the following work from your textbook to see a type of mistake you might be asked to identify when dealing with mathematical puzzles.

 

Read pages 45-47 Example 3 in your textbook, Principles of Mathematics 12.

Complete the Your Turn question on page 47 to practice correcting errors involving mathematical puzzles.

Click here to verify your answers .