Question 14 Consider the following propositions where "I" and "My" refers to you(reader). P: I will study hard. What is symbolic form of the proposition "Either I will not study hard or I will study hard only if my dad will buy me a car."? Q: My dad will buy me a car. (¬PV P)=Q B -Pv (PAQ) © -P=(PvQ) -Pv (P=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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Question 14
Consider the following propositions where "I" and "My" refers to you(reader).
P: I will study hard.
What is symbolic form of the proposition "Either I will not study hard or I will study hard only if my dad will buy me a car."?
Q: My dad will buy me a car.
A
(¬PVP)=Q
- Pv (Ρ^Q)
© -P=(PvQ)
O
¬Pv (P=Q)
Transcribed Image Text:Question 14 Consider the following propositions where "I" and "My" refers to you(reader). P: I will study hard. What is symbolic form of the proposition "Either I will not study hard or I will study hard only if my dad will buy me a car."? Q: My dad will buy me a car. A (¬PVP)=Q - Pv (Ρ^Q) © -P=(PvQ) O ¬Pv (P=Q)
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