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Select the statement that is equivalent to l saw Robin Hood or Dodgeball.

Select the statement that is equivalent to l saw Robin Hood or Dodgeball.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Logic Equivalence Exercise** Select the statement that is equivalent to: **I saw Robin Hood or Dodgeball**. Choose the correct statement below: - **A.** I saw both Robin Hood and Dodgeball. - **B.** If I saw Dodgeball, I did not see Robin Hood. - **C.** If I did not see Robin Hood, I saw Dodgeball. - **D.** If I saw Robin Hood, I did not see Dodgeball. Explanation: This exercise aims to test your understanding of logical equivalences. The original statement "I saw Robin Hood or Dodgeball" means that at least one of the movies was seen. The goal is to identify which of the provided statements expresses the same logical relationship. ### Breaking Down the Statements: - **A. I saw both Robin Hood and Dodgeball.** - This implies seeing both movies, which is not equivalent to seeing at least one. - **B. If I saw Dodgeball, I did not see Robin Hood.** - This is a conditional statement that means seeing one movie excludes the possibility of seeing the other, relating to exclusivity. - **C. If I did not see Robin Hood, I saw Dodgeball.** - This is a conditional statement that ensures seeing at least one of the movies if the other wasn't seen. - **D. If I saw Robin Hood, I did not see Dodgeball.** - This is another conditional statement, similar to B, that expresses exclusivity. The correct equivalent statement expressing the logical relationship of seeing "Robin Hood or Dodgeball" would be: **C. If I did not see Robin Hood, I saw Dodgeball.** This conditional statement guarantees that not seeing Robin Hood implies seeing Dodgeball, which aligns with the original statement of seeing at least one of the movies.
Transcribed Image Text:**Logic Equivalence Exercise** Select the statement that is equivalent to: **I saw Robin Hood or Dodgeball**. Choose the correct statement below: - **A.** I saw both Robin Hood and Dodgeball. - **B.** If I saw Dodgeball, I did not see Robin Hood. - **C.** If I did not see Robin Hood, I saw Dodgeball. - **D.** If I saw Robin Hood, I did not see Dodgeball. Explanation: This exercise aims to test your understanding of logical equivalences. The original statement "I saw Robin Hood or Dodgeball" means that at least one of the movies was seen. The goal is to identify which of the provided statements expresses the same logical relationship. ### Breaking Down the Statements: - **A. I saw both Robin Hood and Dodgeball.** - This implies seeing both movies, which is not equivalent to seeing at least one. - **B. If I saw Dodgeball, I did not see Robin Hood.** - This is a conditional statement that means seeing one movie excludes the possibility of seeing the other, relating to exclusivity. - **C. If I did not see Robin Hood, I saw Dodgeball.** - This is a conditional statement that ensures seeing at least one of the movies if the other wasn't seen. - **D. If I saw Robin Hood, I did not see Dodgeball.** - This is another conditional statement, similar to B, that expresses exclusivity. The correct equivalent statement expressing the logical relationship of seeing "Robin Hood or Dodgeball" would be: **C. If I did not see Robin Hood, I saw Dodgeball.** This conditional statement guarantees that not seeing Robin Hood implies seeing Dodgeball, which aligns with the original statement of seeing at least one of the movies.
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