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Complete the truth table for the following, then use it to answer the following questions.

Complete the truth table for the following, then use it to answer the following questions.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 6CT: Name the type of reasoning used in the following scenario. While shopping for a new television,...
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In the following, if you are asked to find a statement, you should write a statement that a reasonable person could easily identify as "true" or “false." For example: The solution to x? – 5x – 27 = 0 is x = 3 is not a reasonable statement, while Birds have four wings" is, because most people could not easily determine whether the first is true or false, but could quickly determine the truth value of the second statement. 1. Complete the truth table for the following, then use it to answer the following questions. A B¬A-B | AVB-(AV B) |¬AV¬B TT T F FT FF (a) If possible find statements A, B where ¬(A V B) is true but ¬A v ¬B is false. If not possible, explain why not. (b) Is -(A V B) logically equivalent to (¬A) V (¬B)? Defend your conclusion.
Transcribed Image Text:In the following, if you are asked to find a statement, you should write a statement that a reasonable person could easily identify as "true" or “false." For example: The solution to x? – 5x – 27 = 0 is x = 3 is not a reasonable statement, while Birds have four wings" is, because most people could not easily determine whether the first is true or false, but could quickly determine the truth value of the second statement. 1. Complete the truth table for the following, then use it to answer the following questions. A B¬A-B | AVB-(AV B) |¬AV¬B TT T F FT FF (a) If possible find statements A, B where ¬(A V B) is true but ¬A v ¬B is false. If not possible, explain why not. (b) Is -(A V B) logically equivalent to (¬A) V (¬B)? Defend your conclusion.
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