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

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,...
icon
Related questions
Question
**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Factorization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education