1. Let P(z, y) = "I + y = 0", Q(z, y) = "r+y = 2" and O(r) = "z is an odd mumber", where the domain of x.y is all real numbers, determine the truth values of the following. (a) 3rvyP(1, y) (b) Vrvy((0(z) A¬0(y)) →-Q(1, y)) (c) Vrvy (-Q(z, y)v -P(1,y)).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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1. Let P(r, y) = "T* y = 0", Q(x, y) = "x+ y = 2" and O(x) = "x is an odd number", where
the domain of x,y is all real numbers, determine the truth values of the following.
(a) 3rvyP(x, y)
(b) Vrvy((0(x) A¬0(y)) → ¬Q(z, y))
(c) Vrvy (-Q(x, y) v -P(r, y)).
Transcribed Image Text:1. Let P(r, y) = "T* y = 0", Q(x, y) = "x+ y = 2" and O(x) = "x is an odd number", where the domain of x,y is all real numbers, determine the truth values of the following. (a) 3rvyP(x, y) (b) Vrvy((0(x) A¬0(y)) → ¬Q(z, y)) (c) Vrvy (-Q(x, y) v -P(r, y)).
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