Directions: Determine the conversion, contraposition, obversion, and negation of the given statements.Write your answers in the form of a complete English sentence. Which of the statements are equivalent to the given statement?a) Given Statement: Whoever writes the exam has a proper ID card.• Conversion:• Contraposition:• Obversion:• Negation:b) Given Statement: There are forced labor camps in China.• Conversion:• Contraposition:• Obversion:• Negation: Statement EquivalencesThe quality of a statement refers to the notion of a statement being affirmative or negative. Thequantifier refers to either the universal or existential/particular quantifier.TYPE ONE: CONVERSIONRule: Keeps the quantifier and quality of a statement but switches the terms.Switching terms maintains equivalence in E and I statements.Switching terms do not maintain equivalence in A and O statements.TYPE TWO: CONTRAPOSITIONRule: Keeps the quantifier and quality of a statement but switches and negates both terms.Switching and negating both terms maintains equivalence in A and O statements.Switching and negating both terms don't maintain equivalence in E and I statements.TYPE THREE: OBVERSIONRule: Uses same quantifier, but changes the quality of the statement and negates predicate.Changing quality and negating the predicate term maintains equivalence in all statements.TYPE FOUR: NEGATION (CONTRADICTORIES)Rule: Denies A, E, I, O~A=0 ~E=I~I = E~O=A

Write your answers in the form of a complete English sentence. Which of the statements are equivalent to the given statement? a) Given Statement: Whoever writes the exam has a proper ID card. • Conversion: • Contraposition: • Obversion: • Negation: b) Given Statement: There are forced labor camps in China. • Conversion: • Contraposition: • Obversion:

Write your answers in the form of a complete English sentence. Which of the statements are equivalent to the given statement? a) Given Statement: Whoever writes the exam has a proper ID card. • Conversion: • Contraposition: • Obversion: • Negation: b) Given Statement: There are forced labor camps in China. • Conversion: • Contraposition: • Obversion:

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 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...

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