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iv. 3r(P(x) ^ ¬Q(x))

iv. 3r(P(x) ^ ¬Q(x))

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(d) Let P(x) be the statement " x? > 1" and Q(x) be the statement "x+1 < 4". The universe of discourse consists of all real numbers. What are the truth values for the following: i. Vz(P(x) → Q(x)) ii. 3x(P(x) → Q(x)) iii. Væ(P(x) A Q(æ)) iv. 3r(P(x) A ¬Q(x))
Transcribed Image Text:(d) Let P(x) be the statement " x? > 1" and Q(x) be the statement "x+1 < 4". The universe of discourse consists of all real numbers. What are the truth values for the following: i. Vz(P(x) → Q(x)) ii. 3x(P(x) → Q(x)) iii. Væ(P(x) A Q(æ)) iv. 3r(P(x) A ¬Q(x))
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