Which of the following is the negation of the statement VERY ENVz € Q (3x + 2y = z) - ·(x + y

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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Which of the following is the negation of the statement
VERY ENVz € Q (3x + 2y = z) → (x + y <z)
x V ³z € Q (3x + 2y = z) ^ (x + y ≥ z)
ER VE ³z € Q (3x + 2y ‡ z) →
(x + y < z)
ExERVY EN ³z € Q (3x + 2y ‡ z) — →
(x + y ≥ z)
Ex ER Vy EN=z= Q(x + y ≥ z) →
(3x + 2y ‡ 2)
• VER ³ € Vz € Q (3x + 2y = z) ^ (x + y ≥ z)
OVER
\z € Q (x + y ≥ z) ^ (3x + 2y ‡ z)
Transcribed Image Text:Which of the following is the negation of the statement VERY ENVz € Q (3x + 2y = z) → (x + y <z) x V ³z € Q (3x + 2y = z) ^ (x + y ≥ z) ER VE ³z € Q (3x + 2y ‡ z) → (x + y < z) ExERVY EN ³z € Q (3x + 2y ‡ z) — → (x + y ≥ z) Ex ER Vy EN=z= Q(x + y ≥ z) → (3x + 2y ‡ 2) • VER ³ € Vz € Q (3x + 2y = z) ^ (x + y ≥ z) OVER \z € Q (x + y ≥ z) ^ (3x + 2y ‡ z)
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