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Mathematical Structures for Computer Science | 7th Edition | ISBN: 9781429215107 | Authors: Judith L. Gersting
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Let A, B, and C, and D be the following statements: A The

Chapter 1, Problem 16

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QUESTION:

Let A, B, and C, and D be the following statements: A The villain is French. B The hero is American. C The heroine is British. D The movie is good. Translate the following compound statements into symbolic notation. a. The hero is American and the movie is good. b. Athough the villain is French, the movie is good. c. If the movie is good, then either the hero is American or the heroine is British. d. The hero is not American, but the villain is French. e. A British heroine is a necessary condition for the movie to be good

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QUESTION:

Let A, B, and C, and D be the following statements: A The villain is French. B The hero is American. C The heroine is British. D The movie is good. Translate the following compound statements into symbolic notation. a. The hero is American and the movie is good. b. Athough the villain is French, the movie is good. c. If the movie is good, then either the hero is American or the heroine is British. d. The hero is not American, but the villain is French. e. A British heroine is a necessary condition for the movie to be good

ANSWER:

Step 1 of 5

The given statements are:

 The villain is French.

 The hero is American.

 The heroine is British.

 The movie is good.

(a)

Consider the statement, “The hero is American and the movie is good”. The two statements are combined using the word “and”. In symbolic representation, we can combine the statements using a conjunction. The two simple statements in the given statement are:

 The hero is American.

 The movie is good.

The symbolic representation of the given statement is

So the statement “The hero is American and the movie is good” can be symbolically represented as: .

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