Determine whether the following statements are TRUE, FALSE, OR INDETERMINATE (could be either true or false). Example: EITHER dogs bark OR cows croak. TRUE V FALSE ANSWER: TRUE (A disjunction requires at least one true statement for the whole statement to be true) IF (some apples are fruits and all humans are mortal), THEN (if all furniture are tables then all mortals are human). A bachelor is an unmarried male IF AND ONLY IF a maiden is a married female. 13. All humans are mortal IF AND ONLY IF dinosaurs are not extinct.

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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Question
Determine whether the following statements are TRUE, FALSE, OR INDETERMINATE
(could be either true or false).
Example:
EITHER dogs bark OR cows croak.
TRUE V FALSE
ANSWER: TRUE (A disjunction requires at least one true statement for the whole
statement to be true)
IF (some apples are fruits and all humans are mortal), THEN (if all furniture
are tables then all mortals are human).
A bachelor is an unmarried male IF AND ONLY IF a maiden is a married
female.
13. All humans are mortal IF AND ONLY IF dinosaurs are not extinct.
14. IF (ostriches are birds) THEN (either cats are amphibians or dogs are
reptiles.)
15. EITHER (Independence Day is an official non-working holiday) OR (If I
have four 25 cents then I have a peso).
Transcribed Image Text:Determine whether the following statements are TRUE, FALSE, OR INDETERMINATE (could be either true or false). Example: EITHER dogs bark OR cows croak. TRUE V FALSE ANSWER: TRUE (A disjunction requires at least one true statement for the whole statement to be true) IF (some apples are fruits and all humans are mortal), THEN (if all furniture are tables then all mortals are human). A bachelor is an unmarried male IF AND ONLY IF a maiden is a married female. 13. All humans are mortal IF AND ONLY IF dinosaurs are not extinct. 14. IF (ostriches are birds) THEN (either cats are amphibians or dogs are reptiles.) 15. EITHER (Independence Day is an official non-working holiday) OR (If I have four 25 cents then I have a peso).
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