Consider statements p and q. p: It is Wednesday. (a) Write each statement below in symbolic form using p and q.

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 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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ASK AN EXPERT
Consider statements p and q.
p: It is Wednesday.
q: There are students in the gym.
(a) Write each statement below in symbolic form using p and q.
Symboic
Descriptive form
P.
Statement 1: tr it is Wednesday, then there ane students in the gym.
Statement 2: It is false tthat "there are no studentsin the gym or it is
Aepsaupam
(b) Complete the touth table below. Use T for true and F for false.
You may add more columns. But those added columns willnot be graded.
Your answers from part (a) will fili in here.
Statement 1: statement 2:
ova 0-
(c) Are Statement 1 and Statement 2 equivalent? why or why nat? Choose the best answer.
Statement 1 and Statement 2 are equivalent. This is because the truth value of
Statement l is the same as the truth value of Statement 2 for each true-false,
combination of p and q.
Statement 1 and Statement 2 are equivalent. This is because the two statements are
made from p and q, and any two statements made ffrom.p and a are equivalent.
Statement I and Statement 2 are not equivalent. This is because the twO statements
are different, and different statements cannot be equivalent.
Statement I and Statement 2 are not equivalent. This is because the truth value of
O Statementl is different from the bruth walue of Statement 2 for at least one true-false
combination of p and q.
Keu
nt 1 and Statement 2 equivalent? Why or whynot? Choose the best answer. Statement 1 and
ce the truth value of O Statement 1 is the same as the truth value of Statement 2 foreach true-false
Statement 2 are equivalent. This is because the two statements are made from p and q, and any two
tent. Statement 1 and Statement 2 are not equivalent. This is because the two statements are
Transcribed Image Text:ASK AN EXPERT Consider statements p and q. p: It is Wednesday. q: There are students in the gym. (a) Write each statement below in symbolic form using p and q. Symboic Descriptive form P. Statement 1: tr it is Wednesday, then there ane students in the gym. Statement 2: It is false tthat "there are no studentsin the gym or it is Aepsaupam (b) Complete the touth table below. Use T for true and F for false. You may add more columns. But those added columns willnot be graded. Your answers from part (a) will fili in here. Statement 1: statement 2: ova 0- (c) Are Statement 1 and Statement 2 equivalent? why or why nat? Choose the best answer. Statement 1 and Statement 2 are equivalent. This is because the truth value of Statement l is the same as the truth value of Statement 2 for each true-false, combination of p and q. Statement 1 and Statement 2 are equivalent. This is because the two statements are made from p and q, and any two statements made ffrom.p and a are equivalent. Statement I and Statement 2 are not equivalent. This is because the twO statements are different, and different statements cannot be equivalent. Statement I and Statement 2 are not equivalent. This is because the truth value of O Statementl is different from the bruth walue of Statement 2 for at least one true-false combination of p and q. Keu nt 1 and Statement 2 equivalent? Why or whynot? Choose the best answer. Statement 1 and ce the truth value of O Statement 1 is the same as the truth value of Statement 2 foreach true-false Statement 2 are equivalent. This is because the two statements are made from p and q, and any two tent. Statement 1 and Statement 2 are not equivalent. This is because the two statements are
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